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Finding the Fourth Proportional to 583.07, 874.47 and 290.39

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Solution

The fourth proportional to 583.07, 874.47 and 290.39 is: 435.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.07 : 874.47 = 290.39 : x
  2. Step 2: Convert to fraction form
    583.07/874.47 = 290.39/x
  3. Step 3: Cross multiply
    583.07x = 874.47 × 290.39
  4. Step 4: Simplify right side
    583.07x = 253,937.34
  5. Step 5: Solve for x
    x = 253,937.34/583.07
  6. Step 6: Final answer
    x = 435.52

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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.