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Finding the Fourth Proportional to 697.76, 962.52 and 465.04

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Solution

The fourth proportional to 697.76, 962.52 and 465.04 is: 641.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.76 : 962.52 = 465.04 : x
  2. Step 2: Convert to fraction form
    697.76/962.52 = 465.04/x
  3. Step 3: Cross multiply
    697.76x = 962.52 × 465.04
  4. Step 4: Simplify right side
    697.76x = 447,610.30
  5. Step 5: Solve for x
    x = 447,610.30/697.76
  6. Step 6: Final answer
    x = 641.50

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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.