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Finding the Fourth Proportional to 583.69, 875.35 and 193.61

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Solution

The fourth proportional to 583.69, 875.35 and 193.61 is: 290.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.69 : 875.35 = 193.61 : x
  2. Step 2: Convert to fraction form
    583.69/875.35 = 193.61/x
  3. Step 3: Cross multiply
    583.69x = 875.35 × 193.61
  4. Step 4: Simplify right side
    583.69x = 169,476.51
  5. Step 5: Solve for x
    x = 169,476.51/583.69
  6. Step 6: Final answer
    x = 290.35

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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.