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Finding the Fourth Proportional to 524.00, 722.93 and 366.88

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Solution

The fourth proportional to 524.00, 722.93 and 366.88 is: 506.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.00 : 722.93 = 366.88 : x
  2. Step 2: Convert to fraction form
    524.00/722.93 = 366.88/x
  3. Step 3: Cross multiply
    524.00x = 722.93 × 366.88
  4. Step 4: Simplify right side
    524.00x = 265,224.92
  5. Step 5: Solve for x
    x = 265,224.92/524.00
  6. Step 6: Final answer
    x = 506.16

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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.