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Finding the Fourth Proportional to 530.15, 731.58 and 294.09

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Solution

The fourth proportional to 530.15, 731.58 and 294.09 is: 405.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.15 : 731.58 = 294.09 : x
  2. Step 2: Convert to fraction form
    530.15/731.58 = 294.09/x
  3. Step 3: Cross multiply
    530.15x = 731.58 × 294.09
  4. Step 4: Simplify right side
    530.15x = 215,150.36
  5. Step 5: Solve for x
    x = 215,150.36/530.15
  6. Step 6: Final answer
    x = 405.83

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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.