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Finding the Fourth Proportional to 715.95, 988.03 and 417.17

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Solution

The fourth proportional to 715.95, 988.03 and 417.17 is: 575.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.95 : 988.03 = 417.17 : x
  2. Step 2: Convert to fraction form
    715.95/988.03 = 417.17/x
  3. Step 3: Cross multiply
    715.95x = 988.03 × 417.17
  4. Step 4: Simplify right side
    715.95x = 412,176.48
  5. Step 5: Solve for x
    x = 412,176.48/715.95
  6. Step 6: Final answer
    x = 575.71

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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.