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Finding the Fourth Proportional to 607.32, 910.80 and 282.60

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Solution

The fourth proportional to 607.32, 910.80 and 282.60 is: 423.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.32 : 910.80 = 282.60 : x
  2. Step 2: Convert to fraction form
    607.32/910.80 = 282.60/x
  3. Step 3: Cross multiply
    607.32x = 910.80 × 282.60
  4. Step 4: Simplify right side
    607.32x = 257,392.08
  5. Step 5: Solve for x
    x = 257,392.08/607.32
  6. Step 6: Final answer
    x = 423.82

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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.