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Finding the Fourth Proportional to 590.92, 881.76 and 587.50

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Solution

The fourth proportional to 590.92, 881.76 and 587.50 is: 876.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.92 : 881.76 = 587.50 : x
  2. Step 2: Convert to fraction form
    590.92/881.76 = 587.50/x
  3. Step 3: Cross multiply
    590.92x = 881.76 × 587.50
  4. Step 4: Simplify right side
    590.92x = 518,037.31
  5. Step 5: Solve for x
    x = 518,037.31/590.92
  6. Step 6: Final answer
    x = 876.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.