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Finding the Fourth Proportional to 628.24, 943.02 and 465.40

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Solution

The fourth proportional to 628.24, 943.02 and 465.40 is: 698.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.24 : 943.02 = 465.40 : x
  2. Step 2: Convert to fraction form
    628.24/943.02 = 465.40/x
  3. Step 3: Cross multiply
    628.24x = 943.02 × 465.40
  4. Step 4: Simplify right side
    628.24x = 438,881.51
  5. Step 5: Solve for x
    x = 438,881.51/628.24
  6. Step 6: Final answer
    x = 698.59

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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.