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Finding the Fourth Proportional to 565.28, 846.54 and 510.56

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Solution

The fourth proportional to 565.28, 846.54 and 510.56 is: 764.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.28 : 846.54 = 510.56 : x
  2. Step 2: Convert to fraction form
    565.28/846.54 = 510.56/x
  3. Step 3: Cross multiply
    565.28x = 846.54 × 510.56
  4. Step 4: Simplify right side
    565.28x = 432,209.46
  5. Step 5: Solve for x
    x = 432,209.46/565.28
  6. Step 6: Final answer
    x = 764.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.