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Finding the Fourth Proportional to 652.12, 900.02 and 390.28

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Solution

The fourth proportional to 652.12, 900.02 and 390.28 is: 538.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.12 : 900.02 = 390.28 : x
  2. Step 2: Convert to fraction form
    652.12/900.02 = 390.28/x
  3. Step 3: Cross multiply
    652.12x = 900.02 × 390.28
  4. Step 4: Simplify right side
    652.12x = 351,259.81
  5. Step 5: Solve for x
    x = 351,259.81/652.12
  6. Step 6: Final answer
    x = 538.64

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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.