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Finding the Fourth Proportional to 570.48, 787.32 and 334.50

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Solution

The fourth proportional to 570.48, 787.32 and 334.50 is: 461.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.48 : 787.32 = 334.50 : x
  2. Step 2: Convert to fraction form
    570.48/787.32 = 334.50/x
  3. Step 3: Cross multiply
    570.48x = 787.32 × 334.50
  4. Step 4: Simplify right side
    570.48x = 263,358.54
  5. Step 5: Solve for x
    x = 263,358.54/570.48
  6. Step 6: Final answer
    x = 461.64

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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.