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Finding the Fourth Proportional to 400.61, 598.79 and 348.13

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Solution

The fourth proportional to 400.61, 598.79 and 348.13 is: 520.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.61 : 598.79 = 348.13 : x
  2. Step 2: Convert to fraction form
    400.61/598.79 = 348.13/x
  3. Step 3: Cross multiply
    400.61x = 598.79 × 348.13
  4. Step 4: Simplify right side
    400.61x = 208,456.76
  5. Step 5: Solve for x
    x = 208,456.76/400.61
  6. Step 6: Final answer
    x = 520.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.