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Finding the Fourth Proportional to 587.90, 811.14 and 355.08

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Solution

The fourth proportional to 587.90, 811.14 and 355.08 is: 489.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.90 : 811.14 = 355.08 : x
  2. Step 2: Convert to fraction form
    587.90/811.14 = 355.08/x
  3. Step 3: Cross multiply
    587.90x = 811.14 × 355.08
  4. Step 4: Simplify right side
    587.90x = 288,019.59
  5. Step 5: Solve for x
    x = 288,019.59/587.90
  6. Step 6: Final answer
    x = 489.91

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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.