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Finding the Fourth Proportional to 438.29, 656.12 and 283.77

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Solution

The fourth proportional to 438.29, 656.12 and 283.77 is: 424.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.29 : 656.12 = 283.77 : x
  2. Step 2: Convert to fraction form
    438.29/656.12 = 283.77/x
  3. Step 3: Cross multiply
    438.29x = 656.12 × 283.77
  4. Step 4: Simplify right side
    438.29x = 186,187.17
  5. Step 5: Solve for x
    x = 186,187.17/438.29
  6. Step 6: Final answer
    x = 424.80

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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.