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Finding the Fourth Proportional to 570.75, 856.36 and 297.04

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Solution

The fourth proportional to 570.75, 856.36 and 297.04 is: 445.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.75 : 856.36 = 297.04 : x
  2. Step 2: Convert to fraction form
    570.75/856.36 = 297.04/x
  3. Step 3: Cross multiply
    570.75x = 856.36 × 297.04
  4. Step 4: Simplify right side
    570.75x = 254,368.89
  5. Step 5: Solve for x
    x = 254,368.89/570.75
  6. Step 6: Final answer
    x = 445.67

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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.