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Finding the Fourth Proportional to 530.13, 794.77 and 286.32

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Solution

The fourth proportional to 530.13, 794.77 and 286.32 is: 429.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.13 : 794.77 = 286.32 : x
  2. Step 2: Convert to fraction form
    530.13/794.77 = 286.32/x
  3. Step 3: Cross multiply
    530.13x = 794.77 × 286.32
  4. Step 4: Simplify right side
    530.13x = 227,558.55
  5. Step 5: Solve for x
    x = 227,558.55/530.13
  6. Step 6: Final answer
    x = 429.25

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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.