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Finding the Fourth Proportional to 560.12, 772.86 and 385.40

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Solution

The fourth proportional to 560.12, 772.86 and 385.40 is: 531.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.12 : 772.86 = 385.40 : x
  2. Step 2: Convert to fraction form
    560.12/772.86 = 385.40/x
  3. Step 3: Cross multiply
    560.12x = 772.86 × 385.40
  4. Step 4: Simplify right side
    560.12x = 297,860.24
  5. Step 5: Solve for x
    x = 297,860.24/560.12
  6. Step 6: Final answer
    x = 531.78

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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.