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Finding the Fourth Proportional to 697.55, 962.69 and 432.05

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Solution

The fourth proportional to 697.55, 962.69 and 432.05 is: 596.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.55 : 962.69 = 432.05 : x
  2. Step 2: Convert to fraction form
    697.55/962.69 = 432.05/x
  3. Step 3: Cross multiply
    697.55x = 962.69 × 432.05
  4. Step 4: Simplify right side
    697.55x = 415,923.24
  5. Step 5: Solve for x
    x = 415,923.24/697.55
  6. Step 6: Final answer
    x = 596.27

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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.