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Finding the Fourth Proportional to 529.65, 730.95 and 459.18

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Solution

The fourth proportional to 529.65, 730.95 and 459.18 is: 633.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.65 : 730.95 = 459.18 : x
  2. Step 2: Convert to fraction form
    529.65/730.95 = 459.18/x
  3. Step 3: Cross multiply
    529.65x = 730.95 × 459.18
  4. Step 4: Simplify right side
    529.65x = 335,637.62
  5. Step 5: Solve for x
    x = 335,637.62/529.65
  6. Step 6: Final answer
    x = 633.70

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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.