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Finding the Fourth Proportional to 565.40, 780.12 and 332.54

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Solution

The fourth proportional to 565.40, 780.12 and 332.54 is: 458.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.40 : 780.12 = 332.54 : x
  2. Step 2: Convert to fraction form
    565.40/780.12 = 332.54/x
  3. Step 3: Cross multiply
    565.40x = 780.12 × 332.54
  4. Step 4: Simplify right side
    565.40x = 259,421.10
  5. Step 5: Solve for x
    x = 259,421.10/565.40
  6. Step 6: Final answer
    x = 458.83

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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.