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Finding the Fourth Proportional to 456.28, 630 and 290.76

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Solution

The fourth proportional to 456.28, 630 and 290.76 is: 401.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.28 : 630 = 290.76 : x
  2. Step 2: Convert to fraction form
    456.28/630 = 290.76/x
  3. Step 3: Cross multiply
    456.28x = 630 × 290.76
  4. Step 4: Simplify right side
    456.28x = 183,178.80
  5. Step 5: Solve for x
    x = 183,178.80/456.28
  6. Step 6: Final answer
    x = 401.46

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1.5x scale

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.