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Finding the Fourth Proportional to 504.18, 696.04 and 346.90

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Solution

The fourth proportional to 504.18, 696.04 and 346.90 is: 478.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.18 : 696.04 = 346.90 : x
  2. Step 2: Convert to fraction form
    504.18/696.04 = 346.90/x
  3. Step 3: Cross multiply
    504.18x = 696.04 × 346.90
  4. Step 4: Simplify right side
    504.18x = 241,456.28
  5. Step 5: Solve for x
    x = 241,456.28/504.18
  6. Step 6: Final answer
    x = 478.91

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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.