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Finding the Fourth Proportional to 524.16, 784.32 and 370.47

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Solution

The fourth proportional to 524.16, 784.32 and 370.47 is: 554.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.16 : 784.32 = 370.47 : x
  2. Step 2: Convert to fraction form
    524.16/784.32 = 370.47/x
  3. Step 3: Cross multiply
    524.16x = 784.32 × 370.47
  4. Step 4: Simplify right side
    524.16x = 290,567.03
  5. Step 5: Solve for x
    x = 290,567.03/524.16
  6. Step 6: Final answer
    x = 554.35

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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.