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Finding the Fourth Proportional to 565.98, 781.11 and 416.67

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Solution

The fourth proportional to 565.98, 781.11 and 416.67 is: 575.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.98 : 781.11 = 416.67 : x
  2. Step 2: Convert to fraction form
    565.98/781.11 = 416.67/x
  3. Step 3: Cross multiply
    565.98x = 781.11 × 416.67
  4. Step 4: Simplify right side
    565.98x = 325,465.10
  5. Step 5: Solve for x
    x = 325,465.10/565.98
  6. Step 6: Final answer
    x = 575.05

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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.