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Finding the Fourth Proportional to 465.95, 643.04 and 291.47

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Solution

The fourth proportional to 465.95, 643.04 and 291.47 is: 402.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.95 : 643.04 = 291.47 : x
  2. Step 2: Convert to fraction form
    465.95/643.04 = 291.47/x
  3. Step 3: Cross multiply
    465.95x = 643.04 × 291.47
  4. Step 4: Simplify right side
    465.95x = 187,424.38
  5. Step 5: Solve for x
    x = 187,424.38/465.95
  6. Step 6: Final answer
    x = 402.25

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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.