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Finding the Fourth Proportional to 590.54, 881.41 and 507.92

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Solution

The fourth proportional to 590.54, 881.41 and 507.92 is: 758.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.54 : 881.41 = 507.92 : x
  2. Step 2: Convert to fraction form
    590.54/881.41 = 507.92/x
  3. Step 3: Cross multiply
    590.54x = 881.41 × 507.92
  4. Step 4: Simplify right side
    590.54x = 447,685.77
  5. Step 5: Solve for x
    x = 447,685.77/590.54
  6. Step 6: Final answer
    x = 758.10

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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.