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Finding the Fourth Proportional to 435.04, 599.53 and 424.24

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Solution

The fourth proportional to 435.04, 599.53 and 424.24 is: 584.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.04 : 599.53 = 424.24 : x
  2. Step 2: Convert to fraction form
    435.04/599.53 = 424.24/x
  3. Step 3: Cross multiply
    435.04x = 599.53 × 424.24
  4. Step 4: Simplify right side
    435.04x = 254,340.55
  5. Step 5: Solve for x
    x = 254,340.55/435.04
  6. Step 6: Final answer
    x = 584.64

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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.