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Finding the Fourth Proportional to 583.46, 874.65 and 462.50

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Solution

The fourth proportional to 583.46, 874.65 and 462.50 is: 693.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.46 : 874.65 = 462.50 : x
  2. Step 2: Convert to fraction form
    583.46/874.65 = 462.50/x
  3. Step 3: Cross multiply
    583.46x = 874.65 × 462.50
  4. Step 4: Simplify right side
    583.46x = 404,525.63
  5. Step 5: Solve for x
    x = 404,525.63/583.46
  6. Step 6: Final answer
    x = 693.32

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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.