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Finding the Fourth Proportional to 530.02, 731.41 and 299.79

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Solution

The fourth proportional to 530.02, 731.41 and 299.79 is: 413.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.02 : 731.41 = 299.79 : x
  2. Step 2: Convert to fraction form
    530.02/731.41 = 299.79/x
  3. Step 3: Cross multiply
    530.02x = 731.41 × 299.79
  4. Step 4: Simplify right side
    530.02x = 219,269.40
  5. Step 5: Solve for x
    x = 219,269.40/530.02
  6. Step 6: Final answer
    x = 413.70

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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.