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Finding the Fourth Proportional to 946.61, 1,420.10 and 297.17

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Solution

The fourth proportional to 946.61, 1,420.10 and 297.17 is: 445.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.61 : 1,420.10 = 297.17 : x
  2. Step 2: Convert to fraction form
    946.61/1,420.10 = 297.17/x
  3. Step 3: Cross multiply
    946.61x = 1,420.10 × 297.17
  4. Step 4: Simplify right side
    946.61x = 422,011.12
  5. Step 5: Solve for x
    x = 422,011.12/946.61
  6. Step 6: Final answer
    x = 445.81

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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.