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Finding the Fourth Proportional to 485.64, 724.15 and 428.08

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Solution

The fourth proportional to 485.64, 724.15 and 428.08 is: 638.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.64 : 724.15 = 428.08 : x
  2. Step 2: Convert to fraction form
    485.64/724.15 = 428.08/x
  3. Step 3: Cross multiply
    485.64x = 724.15 × 428.08
  4. Step 4: Simplify right side
    485.64x = 309,994.13
  5. Step 5: Solve for x
    x = 309,994.13/485.64
  6. Step 6: Final answer
    x = 638.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.