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Finding the Fourth Proportional to 583.48, 873.14 and 506.72

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Solution

The fourth proportional to 583.48, 873.14 and 506.72 is: 758.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.48 : 873.14 = 506.72 : x
  2. Step 2: Convert to fraction form
    583.48/873.14 = 506.72/x
  3. Step 3: Cross multiply
    583.48x = 873.14 × 506.72
  4. Step 4: Simplify right side
    583.48x = 442,437.50
  5. Step 5: Solve for x
    x = 442,437.50/583.48
  6. Step 6: Final answer
    x = 758.27

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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.