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Finding the Fourth Proportional to 904.41, 1,356.40 and 288

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Solution

The fourth proportional to 904.41, 1,356.40 and 288 is: 431.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.41 : 1,356.40 = 288 : x
  2. Step 2: Convert to fraction form
    904.41/1,356.40 = 288/x
  3. Step 3: Cross multiply
    904.41x = 1,356.40 × 288
  4. Step 4: Simplify right side
    904.41x = 390,643.56
  5. Step 5: Solve for x
    x = 390,643.56/904.41
  6. Step 6: Final answer
    x = 431.93

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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.