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Finding the Fourth Proportional to 530.64, 795.72 and 311.37

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Solution

The fourth proportional to 530.64, 795.72 and 311.37 is: 466.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.64 : 795.72 = 311.37 : x
  2. Step 2: Convert to fraction form
    530.64/795.72 = 311.37/x
  3. Step 3: Cross multiply
    530.64x = 795.72 × 311.37
  4. Step 4: Simplify right side
    530.64x = 247,763.34
  5. Step 5: Solve for x
    x = 247,763.34/530.64
  6. Step 6: Final answer
    x = 466.91

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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.