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Finding the Fourth Proportional to 514.62, 710.13 and 304.77

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Solution

The fourth proportional to 514.62, 710.13 and 304.77 is: 420.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.62 : 710.13 = 304.77 : x
  2. Step 2: Convert to fraction form
    514.62/710.13 = 304.77/x
  3. Step 3: Cross multiply
    514.62x = 710.13 × 304.77
  4. Step 4: Simplify right side
    514.62x = 216,426.32
  5. Step 5: Solve for x
    x = 216,426.32/514.62
  6. Step 6: Final answer
    x = 420.56

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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.