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Finding the Fourth Proportional to 332.51, 501.29 and 309.02

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Solution

The fourth proportional to 332.51, 501.29 and 309.02 is: 465.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.51 : 501.29 = 309.02 : x
  2. Step 2: Convert to fraction form
    332.51/501.29 = 309.02/x
  3. Step 3: Cross multiply
    332.51x = 501.29 × 309.02
  4. Step 4: Simplify right side
    332.51x = 154,905.74
  5. Step 5: Solve for x
    x = 154,905.74/332.51
  6. Step 6: Final answer
    x = 465.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.