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Finding the Fourth Proportional to 895.66, 1,344.03 and 348.10

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Solution

The fourth proportional to 895.66, 1,344.03 and 348.10 is: 522.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.66 : 1,344.03 = 348.10 : x
  2. Step 2: Convert to fraction form
    895.66/1,344.03 = 348.10/x
  3. Step 3: Cross multiply
    895.66x = 1,344.03 × 348.10
  4. Step 4: Simplify right side
    895.66x = 467,856.84
  5. Step 5: Solve for x
    x = 467,856.84/895.66
  6. Step 6: Final answer
    x = 522.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.