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Finding the Fourth Proportional to 365.99, 507.06 and 361.53

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Solution

The fourth proportional to 365.99, 507.06 and 361.53 is: 500.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.99 : 507.06 = 361.53 : x
  2. Step 2: Convert to fraction form
    365.99/507.06 = 361.53/x
  3. Step 3: Cross multiply
    365.99x = 507.06 × 361.53
  4. Step 4: Simplify right side
    365.99x = 183,317.40
  5. Step 5: Solve for x
    x = 183,317.40/365.99
  6. Step 6: Final answer
    x = 500.89

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.