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Finding the Fourth Proportional to 653.67, 980.51 and 364.77

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Solution

The fourth proportional to 653.67, 980.51 and 364.77 is: 547.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.67 : 980.51 = 364.77 : x
  2. Step 2: Convert to fraction form
    653.67/980.51 = 364.77/x
  3. Step 3: Cross multiply
    653.67x = 980.51 × 364.77
  4. Step 4: Simplify right side
    653.67x = 357,658.81
  5. Step 5: Solve for x
    x = 357,658.81/653.67
  6. Step 6: Final answer
    x = 547.16

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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.