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Finding the Fourth Proportional to 697.55, 962.59 and 417.94

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Solution

The fourth proportional to 697.55, 962.59 and 417.94 is: 576.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.55 : 962.59 = 417.94 : x
  2. Step 2: Convert to fraction form
    697.55/962.59 = 417.94/x
  3. Step 3: Cross multiply
    697.55x = 962.59 × 417.94
  4. Step 4: Simplify right side
    697.55x = 402,304.86
  5. Step 5: Solve for x
    x = 402,304.86/697.55
  6. Step 6: Final answer
    x = 576.74

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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.