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Finding the Fourth Proportional to 603.15, 903.02 and 407.69

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Solution

The fourth proportional to 603.15, 903.02 and 407.69 is: 610.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.15 : 903.02 = 407.69 : x
  2. Step 2: Convert to fraction form
    603.15/903.02 = 407.69/x
  3. Step 3: Cross multiply
    603.15x = 903.02 × 407.69
  4. Step 4: Simplify right side
    603.15x = 368,145.67
  5. Step 5: Solve for x
    x = 368,145.67/603.15
  6. Step 6: Final answer
    x = 610.37

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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.