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Finding the Fourth Proportional to 507.60, 700.88 and 446.16

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Solution

The fourth proportional to 507.60, 700.88 and 446.16 is: 616.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.60 : 700.88 = 446.16 : x
  2. Step 2: Convert to fraction form
    507.60/700.88 = 446.16/x
  3. Step 3: Cross multiply
    507.60x = 700.88 × 446.16
  4. Step 4: Simplify right side
    507.60x = 312,702.39
  5. Step 5: Solve for x
    x = 312,702.39/507.60
  6. Step 6: Final answer
    x = 616.04

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Why These Related Problems?

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