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Finding the Fourth Proportional to 875.27, 1,312.51 and 258.76

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Solution

The fourth proportional to 875.27, 1,312.51 and 258.76 is: 388.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.27 : 1,312.51 = 258.76 : x
  2. Step 2: Convert to fraction form
    875.27/1,312.51 = 258.76/x
  3. Step 3: Cross multiply
    875.27x = 1,312.51 × 258.76
  4. Step 4: Simplify right side
    875.27x = 339,621.16
  5. Step 5: Solve for x
    x = 339,621.16/875.27
  6. Step 6: Final answer
    x = 388.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.