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Finding the Fourth Proportional to 514.54, 710.13 and 293.49

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Solution

The fourth proportional to 514.54, 710.13 and 293.49 is: 405.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.54 : 710.13 = 293.49 : x
  2. Step 2: Convert to fraction form
    514.54/710.13 = 293.49/x
  3. Step 3: Cross multiply
    514.54x = 710.13 × 293.49
  4. Step 4: Simplify right side
    514.54x = 208,416.05
  5. Step 5: Solve for x
    x = 208,416.05/514.54
  6. Step 6: Final answer
    x = 405.05

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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.