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Finding the Fourth Proportional to 697.26, 962.25 and 386.76

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Solution

The fourth proportional to 697.26, 962.25 and 386.76 is: 533.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.26 : 962.25 = 386.76 : x
  2. Step 2: Convert to fraction form
    697.26/962.25 = 386.76/x
  3. Step 3: Cross multiply
    697.26x = 962.25 × 386.76
  4. Step 4: Simplify right side
    697.26x = 372,159.81
  5. Step 5: Solve for x
    x = 372,159.81/697.26
  6. Step 6: Final answer
    x = 533.75

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.