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Finding the Fourth Proportional to 875.23, 1,312.86 and 258.95

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Solution

The fourth proportional to 875.23, 1,312.86 and 258.95 is: 388.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.23 : 1,312.86 = 258.95 : x
  2. Step 2: Convert to fraction form
    875.23/1,312.86 = 258.95/x
  3. Step 3: Cross multiply
    875.23x = 1,312.86 × 258.95
  4. Step 4: Simplify right side
    875.23x = 339,958.53
  5. Step 5: Solve for x
    x = 339,958.53/875.23
  6. Step 6: Final answer
    x = 388.42

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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.