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Finding the Fourth Proportional to 926.40, 1,389.48 and 277.08

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Solution

The fourth proportional to 926.40, 1,389.48 and 277.08 is: 415.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.40 : 1,389.48 = 277.08 : x
  2. Step 2: Convert to fraction form
    926.40/1,389.48 = 277.08/x
  3. Step 3: Cross multiply
    926.40x = 1,389.48 × 277.08
  4. Step 4: Simplify right side
    926.40x = 384,997.12
  5. Step 5: Solve for x
    x = 384,997.12/926.40
  6. Step 6: Final answer
    x = 415.58

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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.