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Finding the Fourth Proportional to 438.48, 656.52 and 275.76

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Solution

The fourth proportional to 438.48, 656.52 and 275.76 is: 412.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.48 : 656.52 = 275.76 : x
  2. Step 2: Convert to fraction form
    438.48/656.52 = 275.76/x
  3. Step 3: Cross multiply
    438.48x = 656.52 × 275.76
  4. Step 4: Simplify right side
    438.48x = 181,041.96
  5. Step 5: Solve for x
    x = 181,041.96/438.48
  6. Step 6: Final answer
    x = 412.89

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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.