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Finding the Fourth Proportional to 364.66, 502.77 and 294.46

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Solution

The fourth proportional to 364.66, 502.77 and 294.46 is: 405.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.66 : 502.77 = 294.46 : x
  2. Step 2: Convert to fraction form
    364.66/502.77 = 294.46/x
  3. Step 3: Cross multiply
    364.66x = 502.77 × 294.46
  4. Step 4: Simplify right side
    364.66x = 148,045.50
  5. Step 5: Solve for x
    x = 148,045.50/364.66
  6. Step 6: Final answer
    x = 405.99

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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.