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Finding the Fourth Proportional to 341.14, 513.43 and 307.60

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Solution

The fourth proportional to 341.14, 513.43 and 307.60 is: 462.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.14 : 513.43 = 307.60 : x
  2. Step 2: Convert to fraction form
    341.14/513.43 = 307.60/x
  3. Step 3: Cross multiply
    341.14x = 513.43 × 307.60
  4. Step 4: Simplify right side
    341.14x = 157,931.07
  5. Step 5: Solve for x
    x = 157,931.07/341.14
  6. Step 6: Final answer
    x = 462.95

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.