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Finding the Fourth Proportional to 583.36, 875.32 and 294.80

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Solution

The fourth proportional to 583.36, 875.32 and 294.80 is: 442.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.36 : 875.32 = 294.80 : x
  2. Step 2: Convert to fraction form
    583.36/875.32 = 294.80/x
  3. Step 3: Cross multiply
    583.36x = 875.32 × 294.80
  4. Step 4: Simplify right side
    583.36x = 258,044.34
  5. Step 5: Solve for x
    x = 258,044.34/583.36
  6. Step 6: Final answer
    x = 442.34

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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.