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Finding the Fourth Proportional to 602.51, 831.66 and 353.93

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Solution

The fourth proportional to 602.51, 831.66 and 353.93 is: 488.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.51 : 831.66 = 353.93 : x
  2. Step 2: Convert to fraction form
    602.51/831.66 = 353.93/x
  3. Step 3: Cross multiply
    602.51x = 831.66 × 353.93
  4. Step 4: Simplify right side
    602.51x = 294,351.50
  5. Step 5: Solve for x
    x = 294,351.50/602.51
  6. Step 6: Final answer
    x = 488.54

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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.