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Finding the Fourth Proportional to 495.77, 683.69 and 370.01

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Solution

The fourth proportional to 495.77, 683.69 and 370.01 is: 510.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.77 : 683.69 = 370.01 : x
  2. Step 2: Convert to fraction form
    495.77/683.69 = 370.01/x
  3. Step 3: Cross multiply
    495.77x = 683.69 × 370.01
  4. Step 4: Simplify right side
    495.77x = 252,974.77
  5. Step 5: Solve for x
    x = 252,974.77/495.77
  6. Step 6: Final answer
    x = 510.26

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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.