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Finding the Fourth Proportional to 355.20, 530.24 and 312

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Solution

The fourth proportional to 355.20, 530.24 and 312 is: 465.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.20 : 530.24 = 312 : x
  2. Step 2: Convert to fraction form
    355.20/530.24 = 312/x
  3. Step 3: Cross multiply
    355.20x = 530.24 × 312
  4. Step 4: Simplify right side
    355.20x = 165,433.32
  5. Step 5: Solve for x
    x = 165,433.32/355.20
  6. Step 6: Final answer
    x = 465.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.