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Finding the Fourth Proportional to 530.04, 730.80 and 363.96

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Solution

The fourth proportional to 530.04, 730.80 and 363.96 is: 501.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.04 : 730.80 = 363.96 : x
  2. Step 2: Convert to fraction form
    530.04/730.80 = 363.96/x
  3. Step 3: Cross multiply
    530.04x = 730.80 × 363.96
  4. Step 4: Simplify right side
    530.04x = 265,981.97
  5. Step 5: Solve for x
    x = 265,981.97/530.04
  6. Step 6: Final answer
    x = 501.81

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