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Finding the Fourth Proportional to 524.24, 785.71 and 459.09

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Solution

The fourth proportional to 524.24, 785.71 and 459.09 is: 688.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.24 : 785.71 = 459.09 : x
  2. Step 2: Convert to fraction form
    524.24/785.71 = 459.09/x
  3. Step 3: Cross multiply
    524.24x = 785.71 × 459.09
  4. Step 4: Simplify right side
    524.24x = 360,710.89
  5. Step 5: Solve for x
    x = 360,710.89/524.24
  6. Step 6: Final answer
    x = 688.06

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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.