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Finding the Fourth Proportional to 562.55, 774.81 and 414.90

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Solution

The fourth proportional to 562.55, 774.81 and 414.90 is: 571.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.55 : 774.81 = 414.90 : x
  2. Step 2: Convert to fraction form
    562.55/774.81 = 414.90/x
  3. Step 3: Cross multiply
    562.55x = 774.81 × 414.90
  4. Step 4: Simplify right side
    562.55x = 321,468.67
  5. Step 5: Solve for x
    x = 321,468.67/562.55
  6. Step 6: Final answer
    x = 571.45

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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.