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Finding the Fourth Proportional to 929.44, 1,394.28 and 280.06

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Solution

The fourth proportional to 929.44, 1,394.28 and 280.06 is: 420.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.44 : 1,394.28 = 280.06 : x
  2. Step 2: Convert to fraction form
    929.44/1,394.28 = 280.06/x
  3. Step 3: Cross multiply
    929.44x = 1,394.28 × 280.06
  4. Step 4: Simplify right side
    929.44x = 390,482.06
  5. Step 5: Solve for x
    x = 390,482.06/929.44
  6. Step 6: Final answer
    x = 420.13

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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.