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Finding the Fourth Proportional to 565.54, 846.95 and 500.62

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Solution

The fourth proportional to 565.54, 846.95 and 500.62 is: 749.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.54 : 846.95 = 500.62 : x
  2. Step 2: Convert to fraction form
    565.54/846.95 = 500.62/x
  3. Step 3: Cross multiply
    565.54x = 846.95 × 500.62
  4. Step 4: Simplify right side
    565.54x = 423,998.35
  5. Step 5: Solve for x
    x = 423,998.35/565.54
  6. Step 6: Final answer
    x = 749.72

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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.