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Finding the Fourth Proportional to 501.53, 752.90 and 364.83

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Solution

The fourth proportional to 501.53, 752.90 and 364.83 is: 547.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.53 : 752.90 = 364.83 : x
  2. Step 2: Convert to fraction form
    501.53/752.90 = 364.83/x
  3. Step 3: Cross multiply
    501.53x = 752.90 × 364.83
  4. Step 4: Simplify right side
    501.53x = 274,678.68
  5. Step 5: Solve for x
    x = 274,678.68/501.53
  6. Step 6: Final answer
    x = 547.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.