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Finding the Fourth Proportional to 504.48, 696.29 and 417

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Solution

The fourth proportional to 504.48, 696.29 and 417 is: 575.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.48 : 696.29 = 417 : x
  2. Step 2: Convert to fraction form
    504.48/696.29 = 417/x
  3. Step 3: Cross multiply
    504.48x = 696.29 × 417
  4. Step 4: Simplify right side
    504.48x = 290,352.93
  5. Step 5: Solve for x
    x = 290,352.93/504.48
  6. Step 6: Final answer
    x = 575.55

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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.