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Finding the Fourth Proportional to 522, 719.70 and 417.44

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Solution

The fourth proportional to 522, 719.70 and 417.44 is: 575.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    522 : 719.70 = 417.44 : x
  2. Step 2: Convert to fraction form
    522/719.70 = 417.44/x
  3. Step 3: Cross multiply
    522x = 719.70 × 417.44
  4. Step 4: Simplify right side
    522x = 300,431.57
  5. Step 5: Solve for x
    x = 300,431.57/522
  6. Step 6: Final answer
    x = 575.54

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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.