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Finding the Fourth Proportional to 522, 719.70 and 417.48

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Solution

The fourth proportional to 522, 719.70 and 417.48 is: 575.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    522 : 719.70 = 417.48 : x
  2. Step 2: Convert to fraction form
    522/719.70 = 417.48/x
  3. Step 3: Cross multiply
    522x = 719.70 × 417.48
  4. Step 4: Simplify right side
    522x = 300,460.36
  5. Step 5: Solve for x
    x = 300,460.36/522
  6. Step 6: Final answer
    x = 575.59

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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.