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Finding the Fourth Proportional to 390.03, 585.08 and 101.47

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Solution

The fourth proportional to 390.03, 585.08 and 101.47 is: 152.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.03 : 585.08 = 101.47 : x
  2. Step 2: Convert to fraction form
    390.03/585.08 = 101.47/x
  3. Step 3: Cross multiply
    390.03x = 585.08 × 101.47
  4. Step 4: Simplify right side
    390.03x = 59,368.07
  5. Step 5: Solve for x
    x = 59,368.07/390.03
  6. Step 6: Final answer
    x = 152.21

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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.