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Finding the Fourth Proportional to 590.61, 885.65 and 265.77

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Solution

The fourth proportional to 590.61, 885.65 and 265.77 is: 398.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.61 : 885.65 = 265.77 : x
  2. Step 2: Convert to fraction form
    590.61/885.65 = 265.77/x
  3. Step 3: Cross multiply
    590.61x = 885.65 × 265.77
  4. Step 4: Simplify right side
    590.61x = 235,379.20
  5. Step 5: Solve for x
    x = 235,379.20/590.61
  6. Step 6: Final answer
    x = 398.54

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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.