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Finding the Fourth Proportional to 962.32, 1,442.30 and 413.34

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Solution

The fourth proportional to 962.32, 1,442.30 and 413.34 is: 619.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.32 : 1,442.30 = 413.34 : x
  2. Step 2: Convert to fraction form
    962.32/1,442.30 = 413.34/x
  3. Step 3: Cross multiply
    962.32x = 1,442.30 × 413.34
  4. Step 4: Simplify right side
    962.32x = 596,160.28
  5. Step 5: Solve for x
    x = 596,160.28/962.32
  6. Step 6: Final answer
    x = 619.50

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1.5x scale

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.