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Finding the Fourth Proportional to 590.80, 815.58 and 370.08

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Solution

The fourth proportional to 590.80, 815.58 and 370.08 is: 510.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.80 : 815.58 = 370.08 : x
  2. Step 2: Convert to fraction form
    590.80/815.58 = 370.08/x
  3. Step 3: Cross multiply
    590.80x = 815.58 × 370.08
  4. Step 4: Simplify right side
    590.80x = 301,829.85
  5. Step 5: Solve for x
    x = 301,829.85/590.80
  6. Step 6: Final answer
    x = 510.88

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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.