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Finding the Fourth Proportional to 590.66, 815.13 and 354.65

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Solution

The fourth proportional to 590.66, 815.13 and 354.65 is: 489.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.66 : 815.13 = 354.65 : x
  2. Step 2: Convert to fraction form
    590.66/815.13 = 354.65/x
  3. Step 3: Cross multiply
    590.66x = 815.13 × 354.65
  4. Step 4: Simplify right side
    590.66x = 289,081.78
  5. Step 5: Solve for x
    x = 289,081.78/590.66
  6. Step 6: Final answer
    x = 489.42

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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.