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Finding the Fourth Proportional to 587.64, 811.02 and 354.78

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Solution

The fourth proportional to 587.64, 811.02 and 354.78 is: 489.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.64 : 811.02 = 354.78 : x
  2. Step 2: Convert to fraction form
    587.64/811.02 = 354.78/x
  3. Step 3: Cross multiply
    587.64x = 811.02 × 354.78
  4. Step 4: Simplify right side
    587.64x = 287,733.68
  5. Step 5: Solve for x
    x = 287,733.68/587.64
  6. Step 6: Final answer
    x = 489.64

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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.