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Finding the Fourth Proportional to 524.16, 786.24 and 370.01

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Solution

The fourth proportional to 524.16, 786.24 and 370.01 is: 555.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.16 : 786.24 = 370.01 : x
  2. Step 2: Convert to fraction form
    524.16/786.24 = 370.01/x
  3. Step 3: Cross multiply
    524.16x = 786.24 × 370.01
  4. Step 4: Simplify right side
    524.16x = 290,918.63
  5. Step 5: Solve for x
    x = 290,918.63/524.16
  6. Step 6: Final answer
    x = 555.02

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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.