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Finding the Fourth Proportional to 590.68, 815.20 and 416.08

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Solution

The fourth proportional to 590.68, 815.20 and 416.08 is: 574.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.68 : 815.20 = 416.08 : x
  2. Step 2: Convert to fraction form
    590.68/815.20 = 416.08/x
  3. Step 3: Cross multiply
    590.68x = 815.20 × 416.08
  4. Step 4: Simplify right side
    590.68x = 339,188.42
  5. Step 5: Solve for x
    x = 339,188.42/590.68
  6. Step 6: Final answer
    x = 574.23

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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.