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Finding the Fourth Proportional to 599.71, 899.63 and 416.65

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Solution

The fourth proportional to 599.71, 899.63 and 416.65 is: 625.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.71 : 899.63 = 416.65 : x
  2. Step 2: Convert to fraction form
    599.71/899.63 = 416.65/x
  3. Step 3: Cross multiply
    599.71x = 899.63 × 416.65
  4. Step 4: Simplify right side
    599.71x = 374,830.84
  5. Step 5: Solve for x
    x = 374,830.84/599.71
  6. Step 6: Final answer
    x = 625.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.