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Finding the Fourth Proportional to 514.91, 710.58 and 328.23

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Solution

The fourth proportional to 514.91, 710.58 and 328.23 is: 452.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.91 : 710.58 = 328.23 : x
  2. Step 2: Convert to fraction form
    514.91/710.58 = 328.23/x
  3. Step 3: Cross multiply
    514.91x = 710.58 × 328.23
  4. Step 4: Simplify right side
    514.91x = 233,233.67
  5. Step 5: Solve for x
    x = 233,233.67/514.91
  6. Step 6: Final answer
    x = 452.96

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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.