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Finding the Fourth Proportional to 893.66, 1,341.02 and 346.30

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Solution

The fourth proportional to 893.66, 1,341.02 and 346.30 is: 519.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.66 : 1,341.02 = 346.30 : x
  2. Step 2: Convert to fraction form
    893.66/1,341.02 = 346.30/x
  3. Step 3: Cross multiply
    893.66x = 1,341.02 × 346.30
  4. Step 4: Simplify right side
    893.66x = 464,395.23
  5. Step 5: Solve for x
    x = 464,395.23/893.66
  6. Step 6: Final answer
    x = 519.66

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Why These Related Problems?

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