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Finding the Fourth Proportional to 570.60, 787.55 and 384.21

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Solution

The fourth proportional to 570.60, 787.55 and 384.21 is: 530.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.60 : 787.55 = 384.21 : x
  2. Step 2: Convert to fraction form
    570.60/787.55 = 384.21/x
  3. Step 3: Cross multiply
    570.60x = 787.55 × 384.21
  4. Step 4: Simplify right side
    570.60x = 302,582.66
  5. Step 5: Solve for x
    x = 302,582.66/570.60
  6. Step 6: Final answer
    x = 530.29

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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.