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Finding the Fourth Proportional to 430.33, 646.28 and 412.93

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Solution

The fourth proportional to 430.33, 646.28 and 412.93 is: 620.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.33 : 646.28 = 412.93 : x
  2. Step 2: Convert to fraction form
    430.33/646.28 = 412.93/x
  3. Step 3: Cross multiply
    430.33x = 646.28 × 412.93
  4. Step 4: Simplify right side
    430.33x = 266,868.40
  5. Step 5: Solve for x
    x = 266,868.40/430.33
  6. Step 6: Final answer
    x = 620.15

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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.