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Finding the Fourth Proportional to 430.36, 646.97 and 349.76

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Solution

The fourth proportional to 430.36, 646.97 and 349.76 is: 525.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.36 : 646.97 = 349.76 : x
  2. Step 2: Convert to fraction form
    430.36/646.97 = 349.76/x
  3. Step 3: Cross multiply
    430.36x = 646.97 × 349.76
  4. Step 4: Simplify right side
    430.36x = 226,284.10
  5. Step 5: Solve for x
    x = 226,284.10/430.36
  6. Step 6: Final answer
    x = 525.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.