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Finding the Fourth Proportional to 556.48, 832.80 and 515.20

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Solution

The fourth proportional to 556.48, 832.80 and 515.20 is: 771.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.48 : 832.80 = 515.20 : x
  2. Step 2: Convert to fraction form
    556.48/832.80 = 515.20/x
  3. Step 3: Cross multiply
    556.48x = 832.80 × 515.20
  4. Step 4: Simplify right side
    556.48x = 429,058.56
  5. Step 5: Solve for x
    x = 429,058.56/556.48
  6. Step 6: Final answer
    x = 771.02

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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.