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Finding the Fourth Proportional to 469.19, 647.63 and 294.68

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Solution

The fourth proportional to 469.19, 647.63 and 294.68 is: 406.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.19 : 647.63 = 294.68 : x
  2. Step 2: Convert to fraction form
    469.19/647.63 = 294.68/x
  3. Step 3: Cross multiply
    469.19x = 647.63 × 294.68
  4. Step 4: Simplify right side
    469.19x = 190,838.90
  5. Step 5: Solve for x
    x = 190,838.90/469.19
  6. Step 6: Final answer
    x = 406.75

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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.