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Finding the Fourth Proportional to 570.84, 787.32 and 414.06

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Solution

The fourth proportional to 570.84, 787.32 and 414.06 is: 571.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.84 : 787.32 = 414.06 : x
  2. Step 2: Convert to fraction form
    570.84/787.32 = 414.06/x
  3. Step 3: Cross multiply
    570.84x = 787.32 × 414.06
  4. Step 4: Simplify right side
    570.84x = 325,997.72
  5. Step 5: Solve for x
    x = 325,997.72/570.84
  6. Step 6: Final answer
    x = 571.08

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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.