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Finding the Fourth Proportional to 904.48, 1,357.95 and 466.09

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Solution

The fourth proportional to 904.48, 1,357.95 and 466.09 is: 699.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.48 : 1,357.95 = 466.09 : x
  2. Step 2: Convert to fraction form
    904.48/1,357.95 = 466.09/x
  3. Step 3: Cross multiply
    904.48x = 1,357.95 × 466.09
  4. Step 4: Simplify right side
    904.48x = 632,917.80
  5. Step 5: Solve for x
    x = 632,917.80/904.48
  6. Step 6: Final answer
    x = 699.76

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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.