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Finding the Fourth Proportional to 703.28, 1,054.01 and 292.31

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Solution

The fourth proportional to 703.28, 1,054.01 and 292.31 is: 438.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.28 : 1,054.01 = 292.31 : x
  2. Step 2: Convert to fraction form
    703.28/1,054.01 = 292.31/x
  3. Step 3: Cross multiply
    703.28x = 1,054.01 × 292.31
  4. Step 4: Simplify right side
    703.28x = 308,097.08
  5. Step 5: Solve for x
    x = 308,097.08/703.28
  6. Step 6: Final answer
    x = 438.08

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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.