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Finding the Fourth Proportional to 384.43, 530.54 and 358.51

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Solution

The fourth proportional to 384.43, 530.54 and 358.51 is: 494.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.43 : 530.54 = 358.51 : x
  2. Step 2: Convert to fraction form
    384.43/530.54 = 358.51/x
  3. Step 3: Cross multiply
    384.43x = 530.54 × 358.51
  4. Step 4: Simplify right side
    384.43x = 190,203.90
  5. Step 5: Solve for x
    x = 190,203.90/384.43
  6. Step 6: Final answer
    x = 494.77

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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.