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Finding the Fourth Proportional to 554.58, 832.80 and 464.04

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Solution

The fourth proportional to 554.58, 832.80 and 464.04 is: 696.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.58 : 832.80 = 464.04 : x
  2. Step 2: Convert to fraction form
    554.58/832.80 = 464.04/x
  3. Step 3: Cross multiply
    554.58x = 832.80 × 464.04
  4. Step 4: Simplify right side
    554.58x = 386,452.51
  5. Step 5: Solve for x
    x = 386,452.51/554.58
  6. Step 6: Final answer
    x = 696.84

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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.