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Finding the Fourth Proportional to 590.80, 815.40 and 358.04

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Solution

The fourth proportional to 590.80, 815.40 and 358.04 is: 494.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.80 : 815.40 = 358.04 : x
  2. Step 2: Convert to fraction form
    590.80/815.40 = 358.04/x
  3. Step 3: Cross multiply
    590.80x = 815.40 × 358.04
  4. Step 4: Simplify right side
    590.80x = 291,945.82
  5. Step 5: Solve for x
    x = 291,945.82/590.80
  6. Step 6: Final answer
    x = 494.15

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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.