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Finding the Fourth Proportional to 530.24, 794.15 and 335.24

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Solution

The fourth proportional to 530.24, 794.15 and 335.24 is: 502.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.24 : 794.15 = 335.24 : x
  2. Step 2: Convert to fraction form
    530.24/794.15 = 335.24/x
  3. Step 3: Cross multiply
    530.24x = 794.15 × 335.24
  4. Step 4: Simplify right side
    530.24x = 266,225.20
  5. Step 5: Solve for x
    x = 266,225.20/530.24
  6. Step 6: Final answer
    x = 502.08

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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.