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Finding the Fourth Proportional to 504.16, 696.24 and 346.48

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Solution

The fourth proportional to 504.16, 696.24 and 346.48 is: 478.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.16 : 696.24 = 346.48 : x
  2. Step 2: Convert to fraction form
    504.16/696.24 = 346.48/x
  3. Step 3: Cross multiply
    504.16x = 696.24 × 346.48
  4. Step 4: Simplify right side
    504.16x = 241,233.24
  5. Step 5: Solve for x
    x = 241,233.24/504.16
  6. Step 6: Final answer
    x = 478.49

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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.