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Finding the Fourth Proportional to 594.72, 820.04 and 552.32

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Solution

The fourth proportional to 594.72, 820.04 and 552.32 is: 761.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.72 : 820.04 = 552.32 : x
  2. Step 2: Convert to fraction form
    594.72/820.04 = 552.32/x
  3. Step 3: Cross multiply
    594.72x = 820.04 × 552.32
  4. Step 4: Simplify right side
    594.72x = 452,924.49
  5. Step 5: Solve for x
    x = 452,924.49/594.72
  6. Step 6: Final answer
    x = 761.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.