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Finding the Fourth Proportional to 590.33, 814.87 and 507.10

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Solution

The fourth proportional to 590.33, 814.87 and 507.10 is: 699.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.33 : 814.87 = 507.10 : x
  2. Step 2: Convert to fraction form
    590.33/814.87 = 507.10/x
  3. Step 3: Cross multiply
    590.33x = 814.87 × 507.10
  4. Step 4: Simplify right side
    590.33x = 413,221.21
  5. Step 5: Solve for x
    x = 413,221.21/590.33
  6. Step 6: Final answer
    x = 699.99

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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.