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Finding the Fourth Proportional to 697.47, 962.73 and 476.34

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Solution

The fourth proportional to 697.47, 962.73 and 476.34 is: 657.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.47 : 962.73 = 476.34 : x
  2. Step 2: Convert to fraction form
    697.47/962.73 = 476.34/x
  3. Step 3: Cross multiply
    697.47x = 962.73 × 476.34
  4. Step 4: Simplify right side
    697.47x = 458,586.81
  5. Step 5: Solve for x
    x = 458,586.81/697.47
  6. Step 6: Final answer
    x = 657.50

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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.