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Finding the Fourth Proportional to 473.61, 653.47 and 287.11

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Solution

The fourth proportional to 473.61, 653.47 and 287.11 is: 396.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.61 : 653.47 = 287.11 : x
  2. Step 2: Convert to fraction form
    473.61/653.47 = 287.11/x
  3. Step 3: Cross multiply
    473.61x = 653.47 × 287.11
  4. Step 4: Simplify right side
    473.61x = 187,617.87
  5. Step 5: Solve for x
    x = 187,617.87/473.61
  6. Step 6: Final answer
    x = 396.14

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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.