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Finding the Fourth Proportional to 514.70, 710.25 and 293.65

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Solution

The fourth proportional to 514.70, 710.25 and 293.65 is: 405.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.70 : 710.25 = 293.65 : x
  2. Step 2: Convert to fraction form
    514.70/710.25 = 293.65/x
  3. Step 3: Cross multiply
    514.70x = 710.25 × 293.65
  4. Step 4: Simplify right side
    514.70x = 208,564.91
  5. Step 5: Solve for x
    x = 208,564.91/514.70
  6. Step 6: Final answer
    x = 405.22

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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.