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Finding the Fourth Proportional to 465.61, 642.30 and 279.01

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Solution

The fourth proportional to 465.61, 642.30 and 279.01 is: 384.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.61 : 642.30 = 279.01 : x
  2. Step 2: Convert to fraction form
    465.61/642.30 = 279.01/x
  3. Step 3: Cross multiply
    465.61x = 642.30 × 279.01
  4. Step 4: Simplify right side
    465.61x = 179,208.12
  5. Step 5: Solve for x
    x = 179,208.12/465.61
  6. Step 6: Final answer
    x = 384.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.