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Finding the Fourth Proportional to 583.58, 875.40 and 294.92

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Solution

The fourth proportional to 583.58, 875.40 and 294.92 is: 442.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.58 : 875.40 = 294.92 : x
  2. Step 2: Convert to fraction form
    583.58/875.40 = 294.92/x
  3. Step 3: Cross multiply
    583.58x = 875.40 × 294.92
  4. Step 4: Simplify right side
    583.58x = 258,172.97
  5. Step 5: Solve for x
    x = 258,172.97/583.58
  6. Step 6: Final answer
    x = 442.40

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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.