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Finding the Fourth Proportional to 591.02, 815.61 and 358.14

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Solution

The fourth proportional to 591.02, 815.61 and 358.14 is: 494.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.02 : 815.61 = 358.14 : x
  2. Step 2: Convert to fraction form
    591.02/815.61 = 358.14/x
  3. Step 3: Cross multiply
    591.02x = 815.61 × 358.14
  4. Step 4: Simplify right side
    591.02x = 292,102.57
  5. Step 5: Solve for x
    x = 292,102.57/591.02
  6. Step 6: Final answer
    x = 494.23

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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.