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Finding the Fourth Proportional to 713.29, 983.55 and 464.22

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Solution

The fourth proportional to 713.29, 983.55 and 464.22 is: 640.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.29 : 983.55 = 464.22 : x
  2. Step 2: Convert to fraction form
    713.29/983.55 = 464.22/x
  3. Step 3: Cross multiply
    713.29x = 983.55 × 464.22
  4. Step 4: Simplify right side
    713.29x = 456,583.58
  5. Step 5: Solve for x
    x = 456,583.58/713.29
  6. Step 6: Final answer
    x = 640.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.