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Finding the Fourth Proportional to 583.60, 873.60 and 461.20

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Solution

The fourth proportional to 583.60, 873.60 and 461.20 is: 690.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.60 : 873.60 = 461.20 : x
  2. Step 2: Convert to fraction form
    583.60/873.60 = 461.20/x
  3. Step 3: Cross multiply
    583.60x = 873.60 × 461.20
  4. Step 4: Simplify right side
    583.60x = 402,904.32
  5. Step 5: Solve for x
    x = 402,904.32/583.60
  6. Step 6: Final answer
    x = 690.38

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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.