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Finding the Fourth Proportional to 699.23, 964.96 and 384.52

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Solution

The fourth proportional to 699.23, 964.96 and 384.52 is: 530.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.23 : 964.96 = 384.52 : x
  2. Step 2: Convert to fraction form
    699.23/964.96 = 384.52/x
  3. Step 3: Cross multiply
    699.23x = 964.96 × 384.52
  4. Step 4: Simplify right side
    699.23x = 371,041.59
  5. Step 5: Solve for x
    x = 371,041.59/699.23
  6. Step 6: Final answer
    x = 530.64

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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.