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Finding the Fourth Proportional to 603.51, 903.61 and 314.34

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Solution

The fourth proportional to 603.51, 903.61 and 314.34 is: 470.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.51 : 903.61 = 314.34 : x
  2. Step 2: Convert to fraction form
    603.51/903.61 = 314.34/x
  3. Step 3: Cross multiply
    603.51x = 903.61 × 314.34
  4. Step 4: Simplify right side
    603.51x = 284,040.77
  5. Step 5: Solve for x
    x = 284,040.77/603.51
  6. Step 6: Final answer
    x = 470.65

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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.