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Finding the Fourth Proportional to 471.34, 705.66 and 340.48

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Solution

The fourth proportional to 471.34, 705.66 and 340.48 is: 509.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.34 : 705.66 = 340.48 : x
  2. Step 2: Convert to fraction form
    471.34/705.66 = 340.48/x
  3. Step 3: Cross multiply
    471.34x = 705.66 × 340.48
  4. Step 4: Simplify right side
    471.34x = 240,263.12
  5. Step 5: Solve for x
    x = 240,263.12/471.34
  6. Step 6: Final answer
    x = 509.74

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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.