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Finding the Fourth Proportional to 390.01, 585.01 and 101.45

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Solution

The fourth proportional to 390.01, 585.01 and 101.45 is: 152.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.01 : 585.01 = 101.45 : x
  2. Step 2: Convert to fraction form
    390.01/585.01 = 101.45/x
  3. Step 3: Cross multiply
    390.01x = 585.01 × 101.45
  4. Step 4: Simplify right side
    390.01x = 59,348.09
  5. Step 5: Solve for x
    x = 59,348.09/390.01
  6. Step 6: Final answer
    x = 152.17

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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.