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Finding the Fourth Proportional to 530.75, 795.67 and 206.35

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Solution

The fourth proportional to 530.75, 795.67 and 206.35 is: 309.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.75 : 795.67 = 206.35 : x
  2. Step 2: Convert to fraction form
    530.75/795.67 = 206.35/x
  3. Step 3: Cross multiply
    530.75x = 795.67 × 206.35
  4. Step 4: Simplify right side
    530.75x = 164,186.50
  5. Step 5: Solve for x
    x = 164,186.50/530.75
  6. Step 6: Final answer
    x = 309.35

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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.