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Finding the Fourth Proportional to 355.81, 530.96 and 314.81

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Solution

The fourth proportional to 355.81, 530.96 and 314.81 is: 469.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.81 : 530.96 = 314.81 : x
  2. Step 2: Convert to fraction form
    355.81/530.96 = 314.81/x
  3. Step 3: Cross multiply
    355.81x = 530.96 × 314.81
  4. Step 4: Simplify right side
    355.81x = 167,148.86
  5. Step 5: Solve for x
    x = 167,148.86/355.81
  6. Step 6: Final answer
    x = 469.77

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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.