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Finding the Fourth Proportional to 563.34, 844.86 and 472.08

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Solution

The fourth proportional to 563.34, 844.86 and 472.08 is: 707.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.34 : 844.86 = 472.08 : x
  2. Step 2: Convert to fraction form
    563.34/844.86 = 472.08/x
  3. Step 3: Cross multiply
    563.34x = 844.86 × 472.08
  4. Step 4: Simplify right side
    563.34x = 398,841.51
  5. Step 5: Solve for x
    x = 398,841.51/563.34
  6. Step 6: Final answer
    x = 707.99

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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.