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Finding the Fourth Proportional to 471.04, 705.13 and 297.11

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Solution

The fourth proportional to 471.04, 705.13 and 297.11 is: 444.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.04 : 705.13 = 297.11 : x
  2. Step 2: Convert to fraction form
    471.04/705.13 = 297.11/x
  3. Step 3: Cross multiply
    471.04x = 705.13 × 297.11
  4. Step 4: Simplify right side
    471.04x = 209,502.19
  5. Step 5: Solve for x
    x = 209,502.19/471.04
  6. Step 6: Final answer
    x = 444.77

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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.