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Finding the Fourth Proportional to 563.58, 841.67 and 472.35

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Solution

The fourth proportional to 563.58, 841.67 and 472.35 is: 705.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.58 : 841.67 = 472.35 : x
  2. Step 2: Convert to fraction form
    563.58/841.67 = 472.35/x
  3. Step 3: Cross multiply
    563.58x = 841.67 × 472.35
  4. Step 4: Simplify right side
    563.58x = 397,562.82
  5. Step 5: Solve for x
    x = 397,562.82/563.58
  6. Step 6: Final answer
    x = 705.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.