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Finding the Fourth Proportional to 504.56, 696.40 and 297.60

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Solution

The fourth proportional to 504.56, 696.40 and 297.60 is: 410.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.56 : 696.40 = 297.60 : x
  2. Step 2: Convert to fraction form
    504.56/696.40 = 297.60/x
  3. Step 3: Cross multiply
    504.56x = 696.40 × 297.60
  4. Step 4: Simplify right side
    504.56x = 207,248.64
  5. Step 5: Solve for x
    x = 207,248.64/504.56
  6. Step 6: Final answer
    x = 410.75

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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.