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Finding the Fourth Proportional to 579.53, 800.12 and 358.61

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Solution

The fourth proportional to 579.53, 800.12 and 358.61 is: 495.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.53 : 800.12 = 358.61 : x
  2. Step 2: Convert to fraction form
    579.53/800.12 = 358.61/x
  3. Step 3: Cross multiply
    579.53x = 800.12 × 358.61
  4. Step 4: Simplify right side
    579.53x = 286,931.03
  5. Step 5: Solve for x
    x = 286,931.03/579.53
  6. Step 6: Final answer
    x = 495.11

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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.