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Finding the Fourth Proportional to 555.42, 832.62 and 507.27

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Solution

The fourth proportional to 555.42, 832.62 and 507.27 is: 760.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.42 : 832.62 = 507.27 : x
  2. Step 2: Convert to fraction form
    555.42/832.62 = 507.27/x
  3. Step 3: Cross multiply
    555.42x = 832.62 × 507.27
  4. Step 4: Simplify right side
    555.42x = 422,363.15
  5. Step 5: Solve for x
    x = 422,363.15/555.42
  6. Step 6: Final answer
    x = 760.44

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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.