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Finding the Fourth Proportional to 430.47, 594.05 and 283.19

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Solution

The fourth proportional to 430.47, 594.05 and 283.19 is: 390.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.47 : 594.05 = 283.19 : x
  2. Step 2: Convert to fraction form
    430.47/594.05 = 283.19/x
  3. Step 3: Cross multiply
    430.47x = 594.05 × 283.19
  4. Step 4: Simplify right side
    430.47x = 168,224.63
  5. Step 5: Solve for x
    x = 168,224.63/430.47
  6. Step 6: Final answer
    x = 390.79

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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.