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Finding the Fourth Proportional to 524.84, 723.12 and 358.70

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Solution

The fourth proportional to 524.84, 723.12 and 358.70 is: 494.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.84 : 723.12 = 358.70 : x
  2. Step 2: Convert to fraction form
    524.84/723.12 = 358.70/x
  3. Step 3: Cross multiply
    524.84x = 723.12 × 358.70
  4. Step 4: Simplify right side
    524.84x = 259,383.14
  5. Step 5: Solve for x
    x = 259,383.14/524.84
  6. Step 6: Final answer
    x = 494.21

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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.