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Finding the Fourth Proportional to 541.29, 747.24 and 384.06

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Solution

The fourth proportional to 541.29, 747.24 and 384.06 is: 530.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.29 : 747.24 = 384.06 : x
  2. Step 2: Convert to fraction form
    541.29/747.24 = 384.06/x
  3. Step 3: Cross multiply
    541.29x = 747.24 × 384.06
  4. Step 4: Simplify right side
    541.29x = 286,984.99
  5. Step 5: Solve for x
    x = 286,984.99/541.29
  6. Step 6: Final answer
    x = 530.19

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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.