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Finding the Fourth Proportional to 418.32, 577.48 and 278.67

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Solution

The fourth proportional to 418.32, 577.48 and 278.67 is: 384.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.32 : 577.48 = 278.67 : x
  2. Step 2: Convert to fraction form
    418.32/577.48 = 278.67/x
  3. Step 3: Cross multiply
    418.32x = 577.48 × 278.67
  4. Step 4: Simplify right side
    418.32x = 160,926.35
  5. Step 5: Solve for x
    x = 160,926.35/418.32
  6. Step 6: Final answer
    x = 384.70

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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.