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Finding the Fourth Proportional to 652.80, 901.02 and 431.64

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Solution

The fourth proportional to 652.80, 901.02 and 431.64 is: 595.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.80 : 901.02 = 431.64 : x
  2. Step 2: Convert to fraction form
    652.80/901.02 = 431.64/x
  3. Step 3: Cross multiply
    652.80x = 901.02 × 431.64
  4. Step 4: Simplify right side
    652.80x = 388,916.27
  5. Step 5: Solve for x
    x = 388,916.27/652.80
  6. Step 6: Final answer
    x = 595.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.