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Finding the Fourth Proportional to 524.06, 722.94 and 358.28

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Solution

The fourth proportional to 524.06, 722.94 and 358.28 is: 494.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.06 : 722.94 = 358.28 : x
  2. Step 2: Convert to fraction form
    524.06/722.94 = 358.28/x
  3. Step 3: Cross multiply
    524.06x = 722.94 × 358.28
  4. Step 4: Simplify right side
    524.06x = 259,014.94
  5. Step 5: Solve for x
    x = 259,014.94/524.06
  6. Step 6: Final answer
    x = 494.25

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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.