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Finding the Fourth Proportional to 926.40, 1,388.88 and 438.96

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Solution

The fourth proportional to 926.40, 1,388.88 and 438.96 is: 658.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.40 : 1,388.88 = 438.96 : x
  2. Step 2: Convert to fraction form
    926.40/1,388.88 = 438.96/x
  3. Step 3: Cross multiply
    926.40x = 1,388.88 × 438.96
  4. Step 4: Simplify right side
    926.40x = 609,662.76
  5. Step 5: Solve for x
    x = 609,662.76/926.40
  6. Step 6: Final answer
    x = 658.10

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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.