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Finding the Fourth Proportional to 514.46, 710.08 and 367.53

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Solution

The fourth proportional to 514.46, 710.08 and 367.53 is: 507.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.46 : 710.08 = 367.53 : x
  2. Step 2: Convert to fraction form
    514.46/710.08 = 367.53/x
  3. Step 3: Cross multiply
    514.46x = 710.08 × 367.53
  4. Step 4: Simplify right side
    514.46x = 260,974.78
  5. Step 5: Solve for x
    x = 260,974.78/514.46
  6. Step 6: Final answer
    x = 507.28

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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.