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Finding the Fourth Proportional to 590.16, 885.24 and 265.89

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Solution

The fourth proportional to 590.16, 885.24 and 265.89 is: 398.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.16 : 885.24 = 265.89 : x
  2. Step 2: Convert to fraction form
    590.16/885.24 = 265.89/x
  3. Step 3: Cross multiply
    590.16x = 885.24 × 265.89
  4. Step 4: Simplify right side
    590.16x = 235,376.46
  5. Step 5: Solve for x
    x = 235,376.46/590.16
  6. Step 6: Final answer
    x = 398.84

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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.