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Finding the Fourth Proportional to 341.64, 510.12 and 310.86

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Solution

The fourth proportional to 341.64, 510.12 and 310.86 is: 464.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.64 : 510.12 = 310.86 : x
  2. Step 2: Convert to fraction form
    341.64/510.12 = 310.86/x
  3. Step 3: Cross multiply
    341.64x = 510.12 × 310.86
  4. Step 4: Simplify right side
    341.64x = 158,575.90
  5. Step 5: Solve for x
    x = 158,575.90/341.64
  6. Step 6: Final answer
    x = 464.16

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.