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Finding the Fourth Proportional to 1,544.52, 2,316.72 and 390.26

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Solution

The fourth proportional to 1,544.52, 2,316.72 and 390.26 is: 585.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,544.52 : 2,316.72 = 390.26 : x
  2. Step 2: Convert to fraction form
    1,544.52/2,316.72 = 390.26/x
  3. Step 3: Cross multiply
    1,544.52x = 2,316.72 × 390.26
  4. Step 4: Simplify right side
    1,544.52x = 904,123.15
  5. Step 5: Solve for x
    x = 904,123.15/1,544.52
  6. Step 6: Final answer
    x = 585.37

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1.5x scale

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.