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Finding the Fourth Proportional to 501.46, 751.41 and 482.49

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Solution

The fourth proportional to 501.46, 751.41 and 482.49 is: 722.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.46 : 751.41 = 482.49 : x
  2. Step 2: Convert to fraction form
    501.46/751.41 = 482.49/x
  3. Step 3: Cross multiply
    501.46x = 751.41 × 482.49
  4. Step 4: Simplify right side
    501.46x = 362,547.81
  5. Step 5: Solve for x
    x = 362,547.81/501.46
  6. Step 6: Final answer
    x = 722.99

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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.