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Finding the Fourth Proportional to 514.80, 710.47 and 293.84

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Solution

The fourth proportional to 514.80, 710.47 and 293.84 is: 405.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.80 : 710.47 = 293.84 : x
  2. Step 2: Convert to fraction form
    514.80/710.47 = 293.84/x
  3. Step 3: Cross multiply
    514.80x = 710.47 × 293.84
  4. Step 4: Simplify right side
    514.80x = 208,763.98
  5. Step 5: Solve for x
    x = 208,763.98/514.80
  6. Step 6: Final answer
    x = 405.52

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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.