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Finding the Fourth Proportional to 590.42, 883.80 and 540.02

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Solution

The fourth proportional to 590.42, 883.80 and 540.02 is: 808.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.42 : 883.80 = 540.02 : x
  2. Step 2: Convert to fraction form
    590.42/883.80 = 540.02/x
  3. Step 3: Cross multiply
    590.42x = 883.80 × 540.02
  4. Step 4: Simplify right side
    590.42x = 477,265.26
  5. Step 5: Solve for x
    x = 477,265.26/590.42
  6. Step 6: Final answer
    x = 808.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.