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Finding the Fourth Proportional to 503.18, 694.23 and 348.02

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Solution

The fourth proportional to 503.18, 694.23 and 348.02 is: 480.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.18 : 694.23 = 348.02 : x
  2. Step 2: Convert to fraction form
    503.18/694.23 = 348.02/x
  3. Step 3: Cross multiply
    503.18x = 694.23 × 348.02
  4. Step 4: Simplify right side
    503.18x = 241,605.92
  5. Step 5: Solve for x
    x = 241,605.92/503.18
  6. Step 6: Final answer
    x = 480.16

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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.