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Finding the Fourth Proportional to 565.64, 780.50 and 332.84

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Solution

The fourth proportional to 565.64, 780.50 and 332.84 is: 459.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.64 : 780.50 = 332.84 : x
  2. Step 2: Convert to fraction form
    565.64/780.50 = 332.84/x
  3. Step 3: Cross multiply
    565.64x = 780.50 × 332.84
  4. Step 4: Simplify right side
    565.64x = 259,781.62
  5. Step 5: Solve for x
    x = 259,781.62/565.64
  6. Step 6: Final answer
    x = 459.27

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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.