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Finding the Fourth Proportional to 525.70, 788.14 and 320.16

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Solution

The fourth proportional to 525.70, 788.14 and 320.16 is: 479.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.70 : 788.14 = 320.16 : x
  2. Step 2: Convert to fraction form
    525.70/788.14 = 320.16/x
  3. Step 3: Cross multiply
    525.70x = 788.14 × 320.16
  4. Step 4: Simplify right side
    525.70x = 252,330.10
  5. Step 5: Solve for x
    x = 252,330.10/525.70
  6. Step 6: Final answer
    x = 479.99

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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.