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Finding the Fourth Proportional to 514.91, 710.42 and 315.65

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Solution

The fourth proportional to 514.91, 710.42 and 315.65 is: 435.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.91 : 710.42 = 315.65 : x
  2. Step 2: Convert to fraction form
    514.91/710.42 = 315.65/x
  3. Step 3: Cross multiply
    514.91x = 710.42 × 315.65
  4. Step 4: Simplify right side
    514.91x = 224,238.94
  5. Step 5: Solve for x
    x = 224,238.94/514.91
  6. Step 6: Final answer
    x = 435.50

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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.