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Finding the Fourth Proportional to 495.90, 683.91 and 365.22

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Solution

The fourth proportional to 495.90, 683.91 and 365.22 is: 503.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.90 : 683.91 = 365.22 : x
  2. Step 2: Convert to fraction form
    495.90/683.91 = 365.22/x
  3. Step 3: Cross multiply
    495.90x = 683.91 × 365.22
  4. Step 4: Simplify right side
    495.90x = 249,777.61
  5. Step 5: Solve for x
    x = 249,777.61/495.90
  6. Step 6: Final answer
    x = 503.69

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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.