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Finding the Fourth Proportional to 565.42, 780.23 and 332.50

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Solution

The fourth proportional to 565.42, 780.23 and 332.50 is: 458.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.42 : 780.23 = 332.50 : x
  2. Step 2: Convert to fraction form
    565.42/780.23 = 332.50/x
  3. Step 3: Cross multiply
    565.42x = 780.23 × 332.50
  4. Step 4: Simplify right side
    565.42x = 259,426.48
  5. Step 5: Solve for x
    x = 259,426.48/565.42
  6. Step 6: Final answer
    x = 458.82

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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.