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Finding the Fourth Proportional to 583.08, 877.32 and 462.66

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Solution

The fourth proportional to 583.08, 877.32 and 462.66 is: 696.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.08 : 877.32 = 462.66 : x
  2. Step 2: Convert to fraction form
    583.08/877.32 = 462.66/x
  3. Step 3: Cross multiply
    583.08x = 877.32 × 462.66
  4. Step 4: Simplify right side
    583.08x = 405,900.87
  5. Step 5: Solve for x
    x = 405,900.87/583.08
  6. Step 6: Final answer
    x = 696.13

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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.