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Finding the Fourth Proportional to 365.60, 504.40 and 278.08

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Solution

The fourth proportional to 365.60, 504.40 and 278.08 is: 383.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.60 : 504.40 = 278.08 : x
  2. Step 2: Convert to fraction form
    365.60/504.40 = 278.08/x
  3. Step 3: Cross multiply
    365.60x = 504.40 × 278.08
  4. Step 4: Simplify right side
    365.60x = 140,263.55
  5. Step 5: Solve for x
    x = 140,263.55/365.60
  6. Step 6: Final answer
    x = 383.65

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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.