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Finding the Fourth Proportional to 530.33, 795.69 and 237.81

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Solution

The fourth proportional to 530.33, 795.69 and 237.81 is: 356.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.33 : 795.69 = 237.81 : x
  2. Step 2: Convert to fraction form
    530.33/795.69 = 237.81/x
  3. Step 3: Cross multiply
    530.33x = 795.69 × 237.81
  4. Step 4: Simplify right side
    530.33x = 189,223.04
  5. Step 5: Solve for x
    x = 189,223.04/530.33
  6. Step 6: Final answer
    x = 356.80

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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.