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Finding the Fourth Proportional to 697.68, 962.97 and 417.98

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Solution

The fourth proportional to 697.68, 962.97 and 417.98 is: 576.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.68 : 962.97 = 417.98 : x
  2. Step 2: Convert to fraction form
    697.68/962.97 = 417.98/x
  3. Step 3: Cross multiply
    697.68x = 962.97 × 417.98
  4. Step 4: Simplify right side
    697.68x = 402,502.20
  5. Step 5: Solve for x
    x = 402,502.20/697.68
  6. Step 6: Final answer
    x = 576.92

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