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Finding the Fourth Proportional to 570.84, 856.40 and 310.77

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Solution

The fourth proportional to 570.84, 856.40 and 310.77 is: 466.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.84 : 856.40 = 310.77 : x
  2. Step 2: Convert to fraction form
    570.84/856.40 = 310.77/x
  3. Step 3: Cross multiply
    570.84x = 856.40 × 310.77
  4. Step 4: Simplify right side
    570.84x = 266,144.20
  5. Step 5: Solve for x
    x = 266,144.20/570.84
  6. Step 6: Final answer
    x = 466.23

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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.