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Finding the Fourth Proportional to 525.60, 723.68 and 446.75

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Solution

The fourth proportional to 525.60, 723.68 and 446.75 is: 615.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.60 : 723.68 = 446.75 : x
  2. Step 2: Convert to fraction form
    525.60/723.68 = 446.75/x
  3. Step 3: Cross multiply
    525.60x = 723.68 × 446.75
  4. Step 4: Simplify right side
    525.60x = 323,304.04
  5. Step 5: Solve for x
    x = 323,304.04/525.60
  6. Step 6: Final answer
    x = 615.11

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1.5x scale

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.