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Finding the Fourth Proportional to 424, 583.68 and 380.32

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Solution

The fourth proportional to 424, 583.68 and 380.32 is: 523.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    424 : 583.68 = 380.32 : x
  2. Step 2: Convert to fraction form
    424/583.68 = 380.32/x
  3. Step 3: Cross multiply
    424x = 583.68 × 380.32
  4. Step 4: Simplify right side
    424x = 221,985.18
  5. Step 5: Solve for x
    x = 221,985.18/424
  6. Step 6: Final answer
    x = 523.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.