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Finding the Fourth Proportional to 524.72, 723.08 and 511.76

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Solution

The fourth proportional to 524.72, 723.08 and 511.76 is: 705.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.72 : 723.08 = 511.76 : x
  2. Step 2: Convert to fraction form
    524.72/723.08 = 511.76/x
  3. Step 3: Cross multiply
    524.72x = 723.08 × 511.76
  4. Step 4: Simplify right side
    524.72x = 370,043.42
  5. Step 5: Solve for x
    x = 370,043.42/524.72
  6. Step 6: Final answer
    x = 705.22

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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.