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Finding the Fourth Proportional to 653.48, 901.80 and 432.60

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Solution

The fourth proportional to 653.48, 901.80 and 432.60 is: 596.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.48 : 901.80 = 432.60 : x
  2. Step 2: Convert to fraction form
    653.48/901.80 = 432.60/x
  3. Step 3: Cross multiply
    653.48x = 901.80 × 432.60
  4. Step 4: Simplify right side
    653.48x = 390,118.68
  5. Step 5: Solve for x
    x = 390,118.68/653.48
  6. Step 6: Final answer
    x = 596.99

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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.