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Finding the Fourth Proportional to 524.65, 786.10 and 370.32

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Solution

The fourth proportional to 524.65, 786.10 and 370.32 is: 554.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.65 : 786.10 = 370.32 : x
  2. Step 2: Convert to fraction form
    524.65/786.10 = 370.32/x
  3. Step 3: Cross multiply
    524.65x = 786.10 × 370.32
  4. Step 4: Simplify right side
    524.65x = 291,107.63
  5. Step 5: Solve for x
    x = 291,107.63/524.65
  6. Step 6: Final answer
    x = 554.86

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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.