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Finding the Fourth Proportional to 946.76, 1,420.36 and 297.49

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Solution

The fourth proportional to 946.76, 1,420.36 and 297.49 is: 446.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.76 : 1,420.36 = 297.49 : x
  2. Step 2: Convert to fraction form
    946.76/1,420.36 = 297.49/x
  3. Step 3: Cross multiply
    946.76x = 1,420.36 × 297.49
  4. Step 4: Simplify right side
    946.76x = 422,541.47
  5. Step 5: Solve for x
    x = 422,541.47/946.76
  6. Step 6: Final answer
    x = 446.30

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1.5x scale

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.