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Finding the Fourth Proportional to 565.34, 780.12 and 332.46

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Solution

The fourth proportional to 565.34, 780.12 and 332.46 is: 458.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.34 : 780.12 = 332.46 : x
  2. Step 2: Convert to fraction form
    565.34/780.12 = 332.46/x
  3. Step 3: Cross multiply
    565.34x = 780.12 × 332.46
  4. Step 4: Simplify right side
    565.34x = 259,358.70
  5. Step 5: Solve for x
    x = 259,358.70/565.34
  6. Step 6: Final answer
    x = 458.77

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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.