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Finding the Fourth Proportional to 590.24, 814.70 and 473.03

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Solution

The fourth proportional to 590.24, 814.70 and 473.03 is: 652.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.24 : 814.70 = 473.03 : x
  2. Step 2: Convert to fraction form
    590.24/814.70 = 473.03/x
  3. Step 3: Cross multiply
    590.24x = 814.70 × 473.03
  4. Step 4: Simplify right side
    590.24x = 385,377.71
  5. Step 5: Solve for x
    x = 385,377.71/590.24
  6. Step 6: Final answer
    x = 652.91

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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.