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Finding the Fourth Proportional to 570.71, 787.29 and 384.24

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Solution

The fourth proportional to 570.71, 787.29 and 384.24 is: 530.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.71 : 787.29 = 384.24 : x
  2. Step 2: Convert to fraction form
    570.71/787.29 = 384.24/x
  3. Step 3: Cross multiply
    570.71x = 787.29 × 384.24
  4. Step 4: Simplify right side
    570.71x = 302,508.31
  5. Step 5: Solve for x
    x = 302,508.31/570.71
  6. Step 6: Final answer
    x = 530.06

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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.