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Finding the Fourth Proportional to 514.63, 710.17 and 293.58

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Solution

The fourth proportional to 514.63, 710.17 and 293.58 is: 405.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.63 : 710.17 = 293.58 : x
  2. Step 2: Convert to fraction form
    514.63/710.17 = 293.58/x
  3. Step 3: Cross multiply
    514.63x = 710.17 × 293.58
  4. Step 4: Simplify right side
    514.63x = 208,491.71
  5. Step 5: Solve for x
    x = 208,491.71/514.63
  6. Step 6: Final answer
    x = 405.13

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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.