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Finding the Fourth Proportional to 514.61, 710.17 and 304.79

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Solution

The fourth proportional to 514.61, 710.17 and 304.79 is: 420.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.61 : 710.17 = 304.79 : x
  2. Step 2: Convert to fraction form
    514.61/710.17 = 304.79/x
  3. Step 3: Cross multiply
    514.61x = 710.17 × 304.79
  4. Step 4: Simplify right side
    514.61x = 216,448.40
  5. Step 5: Solve for x
    x = 216,448.40/514.61
  6. Step 6: Final answer
    x = 420.60

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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.