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Finding the Fourth Proportional to 583.39, 873.37 and 377.35

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Solution

The fourth proportional to 583.39, 873.37 and 377.35 is: 564.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.39 : 873.37 = 377.35 : x
  2. Step 2: Convert to fraction form
    583.39/873.37 = 377.35/x
  3. Step 3: Cross multiply
    583.39x = 873.37 × 377.35
  4. Step 4: Simplify right side
    583.39x = 329,566.17
  5. Step 5: Solve for x
    x = 329,566.17/583.39
  6. Step 6: Final answer
    x = 564.92

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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.