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Finding the Fourth Proportional to 591.84, 816.66 and 358.92

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Solution

The fourth proportional to 591.84, 816.66 and 358.92 is: 495.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.84 : 816.66 = 358.92 : x
  2. Step 2: Convert to fraction form
    591.84/816.66 = 358.92/x
  3. Step 3: Cross multiply
    591.84x = 816.66 × 358.92
  4. Step 4: Simplify right side
    591.84x = 293,115.61
  5. Step 5: Solve for x
    x = 293,115.61/591.84
  6. Step 6: Final answer
    x = 495.26

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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.