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Finding the Fourth Proportional to 410.70, 565.80 and 336.57

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Solution

The fourth proportional to 410.70, 565.80 and 336.57 is: 463.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.70 : 565.80 = 336.57 : x
  2. Step 2: Convert to fraction form
    410.70/565.80 = 336.57/x
  3. Step 3: Cross multiply
    410.70x = 565.80 × 336.57
  4. Step 4: Simplify right side
    410.70x = 190,431.31
  5. Step 5: Solve for x
    x = 190,431.31/410.70
  6. Step 6: Final answer
    x = 463.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.