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Finding the Fourth Proportional to 524.70, 786.65 and 416.16

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Solution

The fourth proportional to 524.70, 786.65 and 416.16 is: 623.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.70 : 786.65 = 416.16 : x
  2. Step 2: Convert to fraction form
    524.70/786.65 = 416.16/x
  3. Step 3: Cross multiply
    524.70x = 786.65 × 416.16
  4. Step 4: Simplify right side
    524.70x = 327,370.18
  5. Step 5: Solve for x
    x = 327,370.18/524.70
  6. Step 6: Final answer
    x = 623.92

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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.