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Finding the Fourth Proportional to 657.10, 986.35 and 397.76

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Solution

The fourth proportional to 657.10, 986.35 and 397.76 is: 597.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.10 : 986.35 = 397.76 : x
  2. Step 2: Convert to fraction form
    657.10/986.35 = 397.76/x
  3. Step 3: Cross multiply
    657.10x = 986.35 × 397.76
  4. Step 4: Simplify right side
    657.10x = 392,330.58
  5. Step 5: Solve for x
    x = 392,330.58/657.10
  6. Step 6: Final answer
    x = 597.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.