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Finding the Fourth Proportional to 570.02, 852.84 and 386.54

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Solution

The fourth proportional to 570.02, 852.84 and 386.54 is: 578.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.02 : 852.84 = 386.54 : x
  2. Step 2: Convert to fraction form
    570.02/852.84 = 386.54/x
  3. Step 3: Cross multiply
    570.02x = 852.84 × 386.54
  4. Step 4: Simplify right side
    570.02x = 329,656.77
  5. Step 5: Solve for x
    x = 329,656.77/570.02
  6. Step 6: Final answer
    x = 578.32

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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.