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Finding the Fourth Proportional to 560.36, 841.84 and 396.23

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Solution

The fourth proportional to 560.36, 841.84 and 396.23 is: 595.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.36 : 841.84 = 396.23 : x
  2. Step 2: Convert to fraction form
    560.36/841.84 = 396.23/x
  3. Step 3: Cross multiply
    560.36x = 841.84 × 396.23
  4. Step 4: Simplify right side
    560.36x = 333,557.06
  5. Step 5: Solve for x
    x = 333,557.06/560.36
  6. Step 6: Final answer
    x = 595.25

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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.