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Finding the Fourth Proportional to 599.76, 900.24 and 415.08

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Solution

The fourth proportional to 599.76, 900.24 and 415.08 is: 623.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.76 : 900.24 = 415.08 : x
  2. Step 2: Convert to fraction form
    599.76/900.24 = 415.08/x
  3. Step 3: Cross multiply
    599.76x = 900.24 × 415.08
  4. Step 4: Simplify right side
    599.76x = 373,671.62
  5. Step 5: Solve for x
    x = 373,671.62/599.76
  6. Step 6: Final answer
    x = 623.04

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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.