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Finding the Fourth Proportional to 565.36, 780.20 and 332.60

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Solution

The fourth proportional to 565.36, 780.20 and 332.60 is: 458.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.36 : 780.20 = 332.60 : x
  2. Step 2: Convert to fraction form
    565.36/780.20 = 332.60/x
  3. Step 3: Cross multiply
    565.36x = 780.20 × 332.60
  4. Step 4: Simplify right side
    565.36x = 259,494.52
  5. Step 5: Solve for x
    x = 259,494.52/565.36
  6. Step 6: Final answer
    x = 458.99

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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.