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Finding the Fourth Proportional to 431.82, 599.00 and 416.70

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Solution

The fourth proportional to 431.82, 599.00 and 416.70 is: 578.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.82 : 599.00 = 416.70 : x
  2. Step 2: Convert to fraction form
    431.82/599.00 = 416.70/x
  3. Step 3: Cross multiply
    431.82x = 599.00 × 416.70
  4. Step 4: Simplify right side
    431.82x = 249,601.22
  5. Step 5: Solve for x
    x = 249,601.22/431.82
  6. Step 6: Final answer
    x = 578.02

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.