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Finding the Fourth Proportional to 315.34, 474.67 and 287.66

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Solution

The fourth proportional to 315.34, 474.67 and 287.66 is: 433.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.34 : 474.67 = 287.66 : x
  2. Step 2: Convert to fraction form
    315.34/474.67 = 287.66/x
  3. Step 3: Cross multiply
    315.34x = 474.67 × 287.66
  4. Step 4: Simplify right side
    315.34x = 136,543.57
  5. Step 5: Solve for x
    x = 136,543.57/315.34
  6. Step 6: Final answer
    x = 433.00

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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.