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Finding the Fourth Proportional to 894.47, 1,341.16 and 309.17

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Solution

The fourth proportional to 894.47, 1,341.16 and 309.17 is: 463.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.47 : 1,341.16 = 309.17 : x
  2. Step 2: Convert to fraction form
    894.47/1,341.16 = 309.17/x
  3. Step 3: Cross multiply
    894.47x = 1,341.16 × 309.17
  4. Step 4: Simplify right side
    894.47x = 414,649.02
  5. Step 5: Solve for x
    x = 414,649.02/894.47
  6. Step 6: Final answer
    x = 463.57

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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.