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Finding the Fourth Proportional to 554.72, 832.80 and 392.48

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Solution

The fourth proportional to 554.72, 832.80 and 392.48 is: 589.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.72 : 832.80 = 392.48 : x
  2. Step 2: Convert to fraction form
    554.72/832.80 = 392.48/x
  3. Step 3: Cross multiply
    554.72x = 832.80 × 392.48
  4. Step 4: Simplify right side
    554.72x = 326,857.34
  5. Step 5: Solve for x
    x = 326,857.34/554.72
  6. Step 6: Final answer
    x = 589.23

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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.