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Finding the Fourth Proportional to 653.15, 901.50 and 432.11

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Solution

The fourth proportional to 653.15, 901.50 and 432.11 is: 596.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.15 : 901.50 = 432.11 : x
  2. Step 2: Convert to fraction form
    653.15/901.50 = 432.11/x
  3. Step 3: Cross multiply
    653.15x = 901.50 × 432.11
  4. Step 4: Simplify right side
    653.15x = 389,547.17
  5. Step 5: Solve for x
    x = 389,547.17/653.15
  6. Step 6: Final answer
    x = 596.41

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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.