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Finding the Fourth Proportional to 530.66, 796.23 and 286.91

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Solution

The fourth proportional to 530.66, 796.23 and 286.91 is: 430.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.66 : 796.23 = 286.91 : x
  2. Step 2: Convert to fraction form
    530.66/796.23 = 286.91/x
  3. Step 3: Cross multiply
    530.66x = 796.23 × 286.91
  4. Step 4: Simplify right side
    530.66x = 228,442.37
  5. Step 5: Solve for x
    x = 228,442.37/530.66
  6. Step 6: Final answer
    x = 430.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.