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Finding the Fourth Proportional to 315.22, 474.48 and 287.53

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Solution

The fourth proportional to 315.22, 474.48 and 287.53 is: 432.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.22 : 474.48 = 287.53 : x
  2. Step 2: Convert to fraction form
    315.22/474.48 = 287.53/x
  3. Step 3: Cross multiply
    315.22x = 474.48 × 287.53
  4. Step 4: Simplify right side
    315.22x = 136,427.23
  5. Step 5: Solve for x
    x = 136,427.23/315.22
  6. Step 6: Final answer
    x = 432.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.