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Finding the Fourth Proportional to 514.60, 710.12 and 293.54

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Solution

The fourth proportional to 514.60, 710.12 and 293.54 is: 405.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.60 : 710.12 = 293.54 : x
  2. Step 2: Convert to fraction form
    514.60/710.12 = 293.54/x
  3. Step 3: Cross multiply
    514.60x = 710.12 × 293.54
  4. Step 4: Simplify right side
    514.60x = 208,445.81
  5. Step 5: Solve for x
    x = 208,445.81/514.60
  6. Step 6: Final answer
    x = 405.07

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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.