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Finding the Fourth Proportional to 524.60, 786 and 318.68

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Solution

The fourth proportional to 524.60, 786 and 318.68 is: 477.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.60 : 786 = 318.68 : x
  2. Step 2: Convert to fraction form
    524.60/786 = 318.68/x
  3. Step 3: Cross multiply
    524.60x = 786 × 318.68
  4. Step 4: Simplify right side
    524.60x = 250,482.48
  5. Step 5: Solve for x
    x = 250,482.48/524.60
  6. Step 6: Final answer
    x = 477.47

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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.