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Finding the Fourth Proportional to 475.17, 655.70 and 297.93

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Solution

The fourth proportional to 475.17, 655.70 and 297.93 is: 411.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.17 : 655.70 = 297.93 : x
  2. Step 2: Convert to fraction form
    475.17/655.70 = 297.93/x
  3. Step 3: Cross multiply
    475.17x = 655.70 × 297.93
  4. Step 4: Simplify right side
    475.17x = 195,349.98
  5. Step 5: Solve for x
    x = 195,349.98/475.17
  6. Step 6: Final answer
    x = 411.12

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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.