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Finding the Fourth Proportional to 565.82, 780.84 and 546.20

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Solution

The fourth proportional to 565.82, 780.84 and 546.20 is: 753.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.82 : 780.84 = 546.20 : x
  2. Step 2: Convert to fraction form
    565.82/780.84 = 546.20/x
  3. Step 3: Cross multiply
    565.82x = 780.84 × 546.20
  4. Step 4: Simplify right side
    565.82x = 426,494.81
  5. Step 5: Solve for x
    x = 426,494.81/565.82
  6. Step 6: Final answer
    x = 753.76

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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.