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Finding the Fourth Proportional to 591.84, 816.42 and 358.98

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Solution

The fourth proportional to 591.84, 816.42 and 358.98 is: 495.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.84 : 816.42 = 358.98 : x
  2. Step 2: Convert to fraction form
    591.84/816.42 = 358.98/x
  3. Step 3: Cross multiply
    591.84x = 816.42 × 358.98
  4. Step 4: Simplify right side
    591.84x = 293,078.45
  5. Step 5: Solve for x
    x = 293,078.45/591.84
  6. Step 6: Final answer
    x = 495.20

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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.