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Finding the Fourth Proportional to 962.36, 1,442.88 and 313.28

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Solution

The fourth proportional to 962.36, 1,442.88 and 313.28 is: 469.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.36 : 1,442.88 = 313.28 : x
  2. Step 2: Convert to fraction form
    962.36/1,442.88 = 313.28/x
  3. Step 3: Cross multiply
    962.36x = 1,442.88 × 313.28
  4. Step 4: Simplify right side
    962.36x = 452,025.45
  5. Step 5: Solve for x
    x = 452,025.45/962.36
  6. Step 6: Final answer
    x = 469.71

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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.