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Finding the Fourth Proportional to 540.84, 746.00 and 460.87

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Solution

The fourth proportional to 540.84, 746.00 and 460.87 is: 635.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.84 : 746.00 = 460.87 : x
  2. Step 2: Convert to fraction form
    540.84/746.00 = 460.87/x
  3. Step 3: Cross multiply
    540.84x = 746.00 × 460.87
  4. Step 4: Simplify right side
    540.84x = 343,812.37
  5. Step 5: Solve for x
    x = 343,812.37/540.84
  6. Step 6: Final answer
    x = 635.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.