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Finding the Fourth Proportional to 448.47, 618.95 and 282.76

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Solution

The fourth proportional to 448.47, 618.95 and 282.76 is: 390.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.47 : 618.95 = 282.76 : x
  2. Step 2: Convert to fraction form
    448.47/618.95 = 282.76/x
  3. Step 3: Cross multiply
    448.47x = 618.95 × 282.76
  4. Step 4: Simplify right side
    448.47x = 175,013.46
  5. Step 5: Solve for x
    x = 175,013.46/448.47
  6. Step 6: Final answer
    x = 390.25

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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.