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Finding the Fourth Proportional to 1,552.08, 2,328.08 and 397.76

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Solution

The fourth proportional to 1,552.08, 2,328.08 and 397.76 is: 596.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,552.08 : 2,328.08 = 397.76 : x
  2. Step 2: Convert to fraction form
    1,552.08/2,328.08 = 397.76/x
  3. Step 3: Cross multiply
    1,552.08x = 2,328.08 × 397.76
  4. Step 4: Simplify right side
    1,552.08x = 926,017.10
  5. Step 5: Solve for x
    x = 926,017.10/1,552.08
  6. Step 6: Final answer
    x = 596.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.