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Finding the Fourth Proportional to 530.36, 794.86 and 237.65

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Solution

The fourth proportional to 530.36, 794.86 and 237.65 is: 356.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.36 : 794.86 = 237.65 : x
  2. Step 2: Convert to fraction form
    530.36/794.86 = 237.65/x
  3. Step 3: Cross multiply
    530.36x = 794.86 × 237.65
  4. Step 4: Simplify right side
    530.36x = 188,893.32
  5. Step 5: Solve for x
    x = 188,893.32/530.36
  6. Step 6: Final answer
    x = 356.16

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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.