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Finding the Fourth Proportional to 570.64, 787.02 and 384

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Solution

The fourth proportional to 570.64, 787.02 and 384 is: 529.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.64 : 787.02 = 384 : x
  2. Step 2: Convert to fraction form
    570.64/787.02 = 384/x
  3. Step 3: Cross multiply
    570.64x = 787.02 × 384
  4. Step 4: Simplify right side
    570.64x = 302,215.68
  5. Step 5: Solve for x
    x = 302,215.68/570.64
  6. Step 6: Final answer
    x = 529.61

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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.