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Finding the Fourth Proportional to 875, 1,312.45 and 258.68

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Solution

The fourth proportional to 875, 1,312.45 and 258.68 is: 388.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    875 : 1,312.45 = 258.68 : x
  2. Step 2: Convert to fraction form
    875/1,312.45 = 258.68/x
  3. Step 3: Cross multiply
    875x = 1,312.45 × 258.68
  4. Step 4: Simplify right side
    875x = 339,504.57
  5. Step 5: Solve for x
    x = 339,504.57/875
  6. Step 6: Final answer
    x = 388.01

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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.