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Finding the Fourth Proportional to 928.54, 1,391.46 and 435.10

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Solution

The fourth proportional to 928.54, 1,391.46 and 435.10 is: 652.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.54 : 1,391.46 = 435.10 : x
  2. Step 2: Convert to fraction form
    928.54/1,391.46 = 435.10/x
  3. Step 3: Cross multiply
    928.54x = 1,391.46 × 435.10
  4. Step 4: Simplify right side
    928.54x = 605,424.25
  5. Step 5: Solve for x
    x = 605,424.25/928.54
  6. Step 6: Final answer
    x = 652.02

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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.