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Finding the Fourth Proportional to 628.53, 867.56 and 419.01

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Solution

The fourth proportional to 628.53, 867.56 and 419.01 is: 578.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.53 : 867.56 = 419.01 : x
  2. Step 2: Convert to fraction form
    628.53/867.56 = 419.01/x
  3. Step 3: Cross multiply
    628.53x = 867.56 × 419.01
  4. Step 4: Simplify right side
    628.53x = 363,514.22
  5. Step 5: Solve for x
    x = 363,514.22/628.53
  6. Step 6: Final answer
    x = 578.36

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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.