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Finding the Fourth Proportional to 524.08, 718.55 and 514.90

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Solution

The fourth proportional to 524.08, 718.55 and 514.90 is: 705.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.08 : 718.55 = 514.90 : x
  2. Step 2: Convert to fraction form
    524.08/718.55 = 514.90/x
  3. Step 3: Cross multiply
    524.08x = 718.55 × 514.90
  4. Step 4: Simplify right side
    524.08x = 369,981.40
  5. Step 5: Solve for x
    x = 369,981.40/524.08
  6. Step 6: Final answer
    x = 705.96

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.