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Finding the Fourth Proportional to 473.95, 653 and 361.71

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Solution

The fourth proportional to 473.95, 653 and 361.71 is: 498.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.95 : 653 = 361.71 : x
  2. Step 2: Convert to fraction form
    473.95/653 = 361.71/x
  3. Step 3: Cross multiply
    473.95x = 653 × 361.71
  4. Step 4: Simplify right side
    473.95x = 236,196.63
  5. Step 5: Solve for x
    x = 236,196.63/473.95
  6. Step 6: Final answer
    x = 498.36

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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.