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Finding the Fourth Proportional to 591.42, 816.30 and 358.50

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Solution

The fourth proportional to 591.42, 816.30 and 358.50 is: 494.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.42 : 816.30 = 358.50 : x
  2. Step 2: Convert to fraction form
    591.42/816.30 = 358.50/x
  3. Step 3: Cross multiply
    591.42x = 816.30 × 358.50
  4. Step 4: Simplify right side
    591.42x = 292,643.55
  5. Step 5: Solve for x
    x = 292,643.55/591.42
  6. Step 6: Final answer
    x = 494.82

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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.