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Finding the Fourth Proportional to 514.56, 710.02 and 293.52

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Solution

The fourth proportional to 514.56, 710.02 and 293.52 is: 405.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.56 : 710.02 = 293.52 : x
  2. Step 2: Convert to fraction form
    514.56/710.02 = 293.52/x
  3. Step 3: Cross multiply
    514.56x = 710.02 × 293.52
  4. Step 4: Simplify right side
    514.56x = 208,405.07
  5. Step 5: Solve for x
    x = 208,405.07/514.56
  6. Step 6: Final answer
    x = 405.02

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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.