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Finding the Fourth Proportional to 500.84, 691.64 and 384.20

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Solution

The fourth proportional to 500.84, 691.64 and 384.20 is: 530.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.84 : 691.64 = 384.20 : x
  2. Step 2: Convert to fraction form
    500.84/691.64 = 384.20/x
  3. Step 3: Cross multiply
    500.84x = 691.64 × 384.20
  4. Step 4: Simplify right side
    500.84x = 265,722.71
  5. Step 5: Solve for x
    x = 265,722.71/500.84
  6. Step 6: Final answer
    x = 530.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.