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Finding the Fourth Proportional to 475.16, 653.07 and 419.57

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Solution

The fourth proportional to 475.16, 653.07 and 419.57 is: 576.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.16 : 653.07 = 419.57 : x
  2. Step 2: Convert to fraction form
    475.16/653.07 = 419.57/x
  3. Step 3: Cross multiply
    475.16x = 653.07 × 419.57
  4. Step 4: Simplify right side
    475.16x = 274,005.31
  5. Step 5: Solve for x
    x = 274,005.31/475.16
  6. Step 6: Final answer
    x = 576.67

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.