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Finding the Fourth Proportional to 525.39, 724.80 and 357.14

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Solution

The fourth proportional to 525.39, 724.80 and 357.14 is: 492.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.39 : 724.80 = 357.14 : x
  2. Step 2: Convert to fraction form
    525.39/724.80 = 357.14/x
  3. Step 3: Cross multiply
    525.39x = 724.80 × 357.14
  4. Step 4: Simplify right side
    525.39x = 258,854.15
  5. Step 5: Solve for x
    x = 258,854.15/525.39
  6. Step 6: Final answer
    x = 492.69

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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.