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Finding the Fourth Proportional to 856.02, 1,283.63 and 368.88

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Solution

The fourth proportional to 856.02, 1,283.63 and 368.88 is: 553.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.02 : 1,283.63 = 368.88 : x
  2. Step 2: Convert to fraction form
    856.02/1,283.63 = 368.88/x
  3. Step 3: Cross multiply
    856.02x = 1,283.63 × 368.88
  4. Step 4: Simplify right side
    856.02x = 473,505.43
  5. Step 5: Solve for x
    x = 473,505.43/856.02
  6. Step 6: Final answer
    x = 553.15

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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.