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Finding the Fourth Proportional to 563.94, 846.12 and 256.02

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Solution

The fourth proportional to 563.94, 846.12 and 256.02 is: 384.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.94 : 846.12 = 256.02 : x
  2. Step 2: Convert to fraction form
    563.94/846.12 = 256.02/x
  3. Step 3: Cross multiply
    563.94x = 846.12 × 256.02
  4. Step 4: Simplify right side
    563.94x = 216,623.64
  5. Step 5: Solve for x
    x = 216,623.64/563.94
  6. Step 6: Final answer
    x = 384.13

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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.