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Finding the Fourth Proportional to 529.51, 730.28 and 397.04

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Solution

The fourth proportional to 529.51, 730.28 and 397.04 is: 547.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.51 : 730.28 = 397.04 : x
  2. Step 2: Convert to fraction form
    529.51/730.28 = 397.04/x
  3. Step 3: Cross multiply
    529.51x = 730.28 × 397.04
  4. Step 4: Simplify right side
    529.51x = 289,950.37
  5. Step 5: Solve for x
    x = 289,950.37/529.51
  6. Step 6: Final answer
    x = 547.58

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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.