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Finding the Fourth Proportional to 904.51, 1,356.81 and 288.26

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Solution

The fourth proportional to 904.51, 1,356.81 and 288.26 is: 432.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.51 : 1,356.81 = 288.26 : x
  2. Step 2: Convert to fraction form
    904.51/1,356.81 = 288.26/x
  3. Step 3: Cross multiply
    904.51x = 1,356.81 × 288.26
  4. Step 4: Simplify right side
    904.51x = 391,114.05
  5. Step 5: Solve for x
    x = 391,114.05/904.51
  6. Step 6: Final answer
    x = 432.40

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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.