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Finding the Fourth Proportional to 554.42, 832.22 and 468.80

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Solution

The fourth proportional to 554.42, 832.22 and 468.80 is: 703.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.42 : 832.22 = 468.80 : x
  2. Step 2: Convert to fraction form
    554.42/832.22 = 468.80/x
  3. Step 3: Cross multiply
    554.42x = 832.22 × 468.80
  4. Step 4: Simplify right side
    554.42x = 390,138.23
  5. Step 5: Solve for x
    x = 390,138.23/554.42
  6. Step 6: Final answer
    x = 703.69

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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.