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Finding the Fourth Proportional to 292.59, 403.71 and 255.53

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Solution

The fourth proportional to 292.59, 403.71 and 255.53 is: 352.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.59 : 403.71 = 255.53 : x
  2. Step 2: Convert to fraction form
    292.59/403.71 = 255.53/x
  3. Step 3: Cross multiply
    292.59x = 403.71 × 255.53
  4. Step 4: Simplify right side
    292.59x = 103,160.02
  5. Step 5: Solve for x
    x = 103,160.02/292.59
  6. Step 6: Final answer
    x = 352.58

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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.