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Finding the Fourth Proportional to 460.64, 635.35 and 313.02

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Solution

The fourth proportional to 460.64, 635.35 and 313.02 is: 431.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.64 : 635.35 = 313.02 : x
  2. Step 2: Convert to fraction form
    460.64/635.35 = 313.02/x
  3. Step 3: Cross multiply
    460.64x = 635.35 × 313.02
  4. Step 4: Simplify right side
    460.64x = 198,877.26
  5. Step 5: Solve for x
    x = 198,877.26/460.64
  6. Step 6: Final answer
    x = 431.74

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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.