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Finding the Fourth Proportional to 315.88, 471.29 and 291.64

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Solution

The fourth proportional to 315.88, 471.29 and 291.64 is: 435.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.88 : 471.29 = 291.64 : x
  2. Step 2: Convert to fraction form
    315.88/471.29 = 291.64/x
  3. Step 3: Cross multiply
    315.88x = 471.29 × 291.64
  4. Step 4: Simplify right side
    315.88x = 137,447.02
  5. Step 5: Solve for x
    x = 137,447.02/315.88
  6. Step 6: Final answer
    x = 435.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.