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Finding the Fourth Proportional to 435.50, 599.07 and 417.74

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Solution

The fourth proportional to 435.50, 599.07 and 417.74 is: 574.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.50 : 599.07 = 417.74 : x
  2. Step 2: Convert to fraction form
    435.50/599.07 = 417.74/x
  3. Step 3: Cross multiply
    435.50x = 599.07 × 417.74
  4. Step 4: Simplify right side
    435.50x = 250,255.50
  5. Step 5: Solve for x
    x = 250,255.50/435.50
  6. Step 6: Final answer
    x = 574.64

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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.