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Finding the Fourth Proportional to 507.11, 698.76 and 417.60

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Solution

The fourth proportional to 507.11, 698.76 and 417.60 is: 575.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.11 : 698.76 = 417.60 : x
  2. Step 2: Convert to fraction form
    507.11/698.76 = 417.60/x
  3. Step 3: Cross multiply
    507.11x = 698.76 × 417.60
  4. Step 4: Simplify right side
    507.11x = 291,802.18
  5. Step 5: Solve for x
    x = 291,802.18/507.11
  6. Step 6: Final answer
    x = 575.43

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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.