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Finding the Fourth Proportional to 699.18, 964.88 and 384.48

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Solution

The fourth proportional to 699.18, 964.88 and 384.48 is: 530.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.18 : 964.88 = 384.48 : x
  2. Step 2: Convert to fraction form
    699.18/964.88 = 384.48/x
  3. Step 3: Cross multiply
    699.18x = 964.88 × 384.48
  4. Step 4: Simplify right side
    699.18x = 370,977.06
  5. Step 5: Solve for x
    x = 370,977.06/699.18
  6. Step 6: Final answer
    x = 530.59

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1.5x scale

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.