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Finding the Fourth Proportional to 713.59, 984.80 and 414.93

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Solution

The fourth proportional to 713.59, 984.80 and 414.93 is: 572.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.59 : 984.80 = 414.93 : x
  2. Step 2: Convert to fraction form
    713.59/984.80 = 414.93/x
  3. Step 3: Cross multiply
    713.59x = 984.80 × 414.93
  4. Step 4: Simplify right side
    713.59x = 408,622.25
  5. Step 5: Solve for x
    x = 408,622.25/713.59
  6. Step 6: Final answer
    x = 572.63

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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.