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Finding the Fourth Proportional to 591.24, 816.12 and 358.36

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Solution

The fourth proportional to 591.24, 816.12 and 358.36 is: 494.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.24 : 816.12 = 358.36 : x
  2. Step 2: Convert to fraction form
    591.24/816.12 = 358.36/x
  3. Step 3: Cross multiply
    591.24x = 816.12 × 358.36
  4. Step 4: Simplify right side
    591.24x = 292,464.76
  5. Step 5: Solve for x
    x = 292,464.76/591.24
  6. Step 6: Final answer
    x = 494.66

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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.