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Finding the Fourth Proportional to 525.15, 784.98 and 478.68

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Solution

The fourth proportional to 525.15, 784.98 and 478.68 is: 715.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.15 : 784.98 = 478.68 : x
  2. Step 2: Convert to fraction form
    525.15/784.98 = 478.68/x
  3. Step 3: Cross multiply
    525.15x = 784.98 × 478.68
  4. Step 4: Simplify right side
    525.15x = 375,754.23
  5. Step 5: Solve for x
    x = 375,754.23/525.15
  6. Step 6: Final answer
    x = 715.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.