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Finding the Fourth Proportional to 514.16, 708.72 and 348.32

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Solution

The fourth proportional to 514.16, 708.72 and 348.32 is: 480.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.16 : 708.72 = 348.32 : x
  2. Step 2: Convert to fraction form
    514.16/708.72 = 348.32/x
  3. Step 3: Cross multiply
    514.16x = 708.72 × 348.32
  4. Step 4: Simplify right side
    514.16x = 246,861.35
  5. Step 5: Solve for x
    x = 246,861.35/514.16
  6. Step 6: Final answer
    x = 480.13

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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.