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Finding the Fourth Proportional to 583.88, 873.66 and 468.86

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Solution

The fourth proportional to 583.88, 873.66 and 468.86 is: 701.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.88 : 873.66 = 468.86 : x
  2. Step 2: Convert to fraction form
    583.88/873.66 = 468.86/x
  3. Step 3: Cross multiply
    583.88x = 873.66 × 468.86
  4. Step 4: Simplify right side
    583.88x = 409,624.23
  5. Step 5: Solve for x
    x = 409,624.23/583.88
  6. Step 6: Final answer
    x = 701.56

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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.