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Finding the Fourth Proportional to 364.66, 544.34 and 313.63

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Solution

The fourth proportional to 364.66, 544.34 and 313.63 is: 468.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.66 : 544.34 = 313.63 : x
  2. Step 2: Convert to fraction form
    364.66/544.34 = 313.63/x
  3. Step 3: Cross multiply
    364.66x = 544.34 × 313.63
  4. Step 4: Simplify right side
    364.66x = 170,720.78
  5. Step 5: Solve for x
    x = 170,720.78/364.66
  6. Step 6: Final answer
    x = 468.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.