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Finding the Fourth Proportional to 594.45, 819.47 and 416.87

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Solution

The fourth proportional to 594.45, 819.47 and 416.87 is: 574.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.45 : 819.47 = 416.87 : x
  2. Step 2: Convert to fraction form
    594.45/819.47 = 416.87/x
  3. Step 3: Cross multiply
    594.45x = 819.47 × 416.87
  4. Step 4: Simplify right side
    594.45x = 341,612.46
  5. Step 5: Solve for x
    x = 341,612.46/594.45
  6. Step 6: Final answer
    x = 574.67

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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.