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Finding the Fourth Proportional to 514.94, 710.63 and 293.90

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Solution

The fourth proportional to 514.94, 710.63 and 293.90 is: 405.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.94 : 710.63 = 293.90 : x
  2. Step 2: Convert to fraction form
    514.94/710.63 = 293.90/x
  3. Step 3: Cross multiply
    514.94x = 710.63 × 293.90
  4. Step 4: Simplify right side
    514.94x = 208,856.67
  5. Step 5: Solve for x
    x = 208,856.67/514.94
  6. Step 6: Final answer
    x = 405.60

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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.