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Finding the Fourth Proportional to 583.06, 873.37 and 460.98

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Solution

The fourth proportional to 583.06, 873.37 and 460.98 is: 690.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.06 : 873.37 = 460.98 : x
  2. Step 2: Convert to fraction form
    583.06/873.37 = 460.98/x
  3. Step 3: Cross multiply
    583.06x = 873.37 × 460.98
  4. Step 4: Simplify right side
    583.06x = 402,606.10
  5. Step 5: Solve for x
    x = 402,606.10/583.06
  6. Step 6: Final answer
    x = 690.51

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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.