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Finding the Fourth Proportional to 384.33, 530.48 and 364.74

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Solution

The fourth proportional to 384.33, 530.48 and 364.74 is: 503.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.33 : 530.48 = 364.74 : x
  2. Step 2: Convert to fraction form
    384.33/530.48 = 364.74/x
  3. Step 3: Cross multiply
    384.33x = 530.48 × 364.74
  4. Step 4: Simplify right side
    384.33x = 193,487.28
  5. Step 5: Solve for x
    x = 193,487.28/384.33
  6. Step 6: Final answer
    x = 503.44

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