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Finding the Fourth Proportional to 374.13, 561.20 and 278.01

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Solution

The fourth proportional to 374.13, 561.20 and 278.01 is: 417.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.13 : 561.20 = 278.01 : x
  2. Step 2: Convert to fraction form
    374.13/561.20 = 278.01/x
  3. Step 3: Cross multiply
    374.13x = 561.20 × 278.01
  4. Step 4: Simplify right side
    374.13x = 156,017.82
  5. Step 5: Solve for x
    x = 156,017.82/374.13
  6. Step 6: Final answer
    x = 417.02

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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.