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Finding the Fourth Proportional to 525.69, 724.68 and 414.99

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Solution

The fourth proportional to 525.69, 724.68 and 414.99 is: 572.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.69 : 724.68 = 414.99 : x
  2. Step 2: Convert to fraction form
    525.69/724.68 = 414.99/x
  3. Step 3: Cross multiply
    525.69x = 724.68 × 414.99
  4. Step 4: Simplify right side
    525.69x = 300,734.95
  5. Step 5: Solve for x
    x = 300,734.95/525.69
  6. Step 6: Final answer
    x = 572.08

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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.