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Finding the Fourth Proportional to 583.18, 873.03 and 377.14

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Solution

The fourth proportional to 583.18, 873.03 and 377.14 is: 564.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.18 : 873.03 = 377.14 : x
  2. Step 2: Convert to fraction form
    583.18/873.03 = 377.14/x
  3. Step 3: Cross multiply
    583.18x = 873.03 × 377.14
  4. Step 4: Simplify right side
    583.18x = 329,254.53
  5. Step 5: Solve for x
    x = 329,254.53/583.18
  6. Step 6: Final answer
    x = 564.58

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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.