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Finding the Fourth Proportional to 570.12, 854.23 and 465.45

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Solution

The fourth proportional to 570.12, 854.23 and 465.45 is: 697.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.12 : 854.23 = 465.45 : x
  2. Step 2: Convert to fraction form
    570.12/854.23 = 465.45/x
  3. Step 3: Cross multiply
    570.12x = 854.23 × 465.45
  4. Step 4: Simplify right side
    570.12x = 397,601.35
  5. Step 5: Solve for x
    x = 397,601.35/570.12
  6. Step 6: Final answer
    x = 697.40

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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.