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Finding the Fourth Proportional to 591.63, 816.53 and 358.76

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Solution

The fourth proportional to 591.63, 816.53 and 358.76 is: 495.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.63 : 816.53 = 358.76 : x
  2. Step 2: Convert to fraction form
    591.63/816.53 = 358.76/x
  3. Step 3: Cross multiply
    591.63x = 816.53 × 358.76
  4. Step 4: Simplify right side
    591.63x = 292,938.30
  5. Step 5: Solve for x
    x = 292,938.30/591.63
  6. Step 6: Final answer
    x = 495.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.