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Finding the Fourth Proportional to 590.56, 886.30 and 266.16

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Solution

The fourth proportional to 590.56, 886.30 and 266.16 is: 399.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.56 : 886.30 = 266.16 : x
  2. Step 2: Convert to fraction form
    590.56/886.30 = 266.16/x
  3. Step 3: Cross multiply
    590.56x = 886.30 × 266.16
  4. Step 4: Simplify right side
    590.56x = 235,897.61
  5. Step 5: Solve for x
    x = 235,897.61/590.56
  6. Step 6: Final answer
    x = 399.45

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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.