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Finding the Fourth Proportional to 504.68, 696.20 and 347.04

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Solution

The fourth proportional to 504.68, 696.20 and 347.04 is: 478.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.68 : 696.20 = 347.04 : x
  2. Step 2: Convert to fraction form
    504.68/696.20 = 347.04/x
  3. Step 3: Cross multiply
    504.68x = 696.20 × 347.04
  4. Step 4: Simplify right side
    504.68x = 241,607.51
  5. Step 5: Solve for x
    x = 241,607.51/504.68
  6. Step 6: Final answer
    x = 478.74

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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.