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Finding the Fourth Proportional to 501.12, 747.81 and 446.58

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Solution

The fourth proportional to 501.12, 747.81 and 446.58 is: 666.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.12 : 747.81 = 446.58 : x
  2. Step 2: Convert to fraction form
    501.12/747.81 = 446.58/x
  3. Step 3: Cross multiply
    501.12x = 747.81 × 446.58
  4. Step 4: Simplify right side
    501.12x = 333,956.99
  5. Step 5: Solve for x
    x = 333,956.99/501.12
  6. Step 6: Final answer
    x = 666.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.