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Finding the Fourth Proportional to 570.16, 854.41 and 454.08

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Solution

The fourth proportional to 570.16, 854.41 and 454.08 is: 680.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.16 : 854.41 = 454.08 : x
  2. Step 2: Convert to fraction form
    570.16/854.41 = 454.08/x
  3. Step 3: Cross multiply
    570.16x = 854.41 × 454.08
  4. Step 4: Simplify right side
    570.16x = 387,970.49
  5. Step 5: Solve for x
    x = 387,970.49/570.16
  6. Step 6: Final answer
    x = 680.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.