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Finding the Fourth Proportional to 382.42, 530.37 and 358.66

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Solution

The fourth proportional to 382.42, 530.37 and 358.66 is: 497.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.42 : 530.37 = 358.66 : x
  2. Step 2: Convert to fraction form
    382.42/530.37 = 358.66/x
  3. Step 3: Cross multiply
    382.42x = 530.37 × 358.66
  4. Step 4: Simplify right side
    382.42x = 190,220.71
  5. Step 5: Solve for x
    x = 190,220.71/382.42
  6. Step 6: Final answer
    x = 497.41

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.