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Finding the Fourth Proportional to 562.56, 841.82 and 356.19

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Solution

The fourth proportional to 562.56, 841.82 and 356.19 is: 533.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.56 : 841.82 = 356.19 : x
  2. Step 2: Convert to fraction form
    562.56/841.82 = 356.19/x
  3. Step 3: Cross multiply
    562.56x = 841.82 × 356.19
  4. Step 4: Simplify right side
    562.56x = 299,846.08
  5. Step 5: Solve for x
    x = 299,846.08/562.56
  6. Step 6: Final answer
    x = 533.00

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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.