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Finding the Fourth Proportional to 530.26, 798.98 and 440.95

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Solution

The fourth proportional to 530.26, 798.98 and 440.95 is: 664.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.26 : 798.98 = 440.95 : x
  2. Step 2: Convert to fraction form
    530.26/798.98 = 440.95/x
  3. Step 3: Cross multiply
    530.26x = 798.98 × 440.95
  4. Step 4: Simplify right side
    530.26x = 352,310.23
  5. Step 5: Solve for x
    x = 352,310.23/530.26
  6. Step 6: Final answer
    x = 664.41

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.