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Finding the Fourth Proportional to 525.38, 724.86 and 315.45

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Solution

The fourth proportional to 525.38, 724.86 and 315.45 is: 435.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.38 : 724.86 = 315.45 : x
  2. Step 2: Convert to fraction form
    525.38/724.86 = 315.45/x
  3. Step 3: Cross multiply
    525.38x = 724.86 × 315.45
  4. Step 4: Simplify right side
    525.38x = 228,657.09
  5. Step 5: Solve for x
    x = 228,657.09/525.38
  6. Step 6: Final answer
    x = 435.23

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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.