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Finding the Fourth Proportional to 438.32, 656.04 and 390.32

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Solution

The fourth proportional to 438.32, 656.04 and 390.32 is: 584.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.32 : 656.04 = 390.32 : x
  2. Step 2: Convert to fraction form
    438.32/656.04 = 390.32/x
  3. Step 3: Cross multiply
    438.32x = 656.04 × 390.32
  4. Step 4: Simplify right side
    438.32x = 256,065.53
  5. Step 5: Solve for x
    x = 256,065.53/438.32
  6. Step 6: Final answer
    x = 584.20

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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.