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Finding the Fourth Proportional to 590.53, 885.64 and 265.82

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Solution

The fourth proportional to 590.53, 885.64 and 265.82 is: 398.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.53 : 885.64 = 265.82 : x
  2. Step 2: Convert to fraction form
    590.53/885.64 = 265.82/x
  3. Step 3: Cross multiply
    590.53x = 885.64 × 265.82
  4. Step 4: Simplify right side
    590.53x = 235,419.50
  5. Step 5: Solve for x
    x = 235,419.50/590.53
  6. Step 6: Final answer
    x = 398.66

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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.