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Finding the Fourth Proportional to 875.60, 1,313.04 and 298.40

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Solution

The fourth proportional to 875.60, 1,313.04 and 298.40 is: 447.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.60 : 1,313.04 = 298.40 : x
  2. Step 2: Convert to fraction form
    875.60/1,313.04 = 298.40/x
  3. Step 3: Cross multiply
    875.60x = 1,313.04 × 298.40
  4. Step 4: Simplify right side
    875.60x = 391,811.14
  5. Step 5: Solve for x
    x = 391,811.14/875.60
  6. Step 6: Final answer
    x = 447.48

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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.