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Finding the Fourth Proportional to 904.01, 1,356.06 and 287.76

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Solution

The fourth proportional to 904.01, 1,356.06 and 287.76 is: 431.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.01 : 1,356.06 = 287.76 : x
  2. Step 2: Convert to fraction form
    904.01/1,356.06 = 287.76/x
  3. Step 3: Cross multiply
    904.01x = 1,356.06 × 287.76
  4. Step 4: Simplify right side
    904.01x = 390,219.11
  5. Step 5: Solve for x
    x = 390,219.11/904.01
  6. Step 6: Final answer
    x = 431.66

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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.