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Finding the Fourth Proportional to 904.71, 1,357.06 and 288.42

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Solution

The fourth proportional to 904.71, 1,357.06 and 288.42 is: 432.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.71 : 1,357.06 = 288.42 : x
  2. Step 2: Convert to fraction form
    904.71/1,357.06 = 288.42/x
  3. Step 3: Cross multiply
    904.71x = 1,357.06 × 288.42
  4. Step 4: Simplify right side
    904.71x = 391,403.25
  5. Step 5: Solve for x
    x = 391,403.25/904.71
  6. Step 6: Final answer
    x = 432.63

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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.