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Finding the Fourth Proportional to 384.18, 530.40 and 297.06

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Solution

The fourth proportional to 384.18, 530.40 and 297.06 is: 410.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.18 : 530.40 = 297.06 : x
  2. Step 2: Convert to fraction form
    384.18/530.40 = 297.06/x
  3. Step 3: Cross multiply
    384.18x = 530.40 × 297.06
  4. Step 4: Simplify right side
    384.18x = 157,560.62
  5. Step 5: Solve for x
    x = 157,560.62/384.18
  6. Step 6: Final answer
    x = 410.12

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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.