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Finding the Fourth Proportional to 514.68, 710.24 and 293.66

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Solution

The fourth proportional to 514.68, 710.24 and 293.66 is: 405.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.68 : 710.24 = 293.66 : x
  2. Step 2: Convert to fraction form
    514.68/710.24 = 293.66/x
  3. Step 3: Cross multiply
    514.68x = 710.24 × 293.66
  4. Step 4: Simplify right side
    514.68x = 208,569.08
  5. Step 5: Solve for x
    x = 208,569.08/514.68
  6. Step 6: Final answer
    x = 405.24

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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.