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Finding the Fourth Proportional to 953.86, 1,430.86 and 304.64

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Solution

The fourth proportional to 953.86, 1,430.86 and 304.64 is: 456.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.86 : 1,430.86 = 304.64 : x
  2. Step 2: Convert to fraction form
    953.86/1,430.86 = 304.64/x
  3. Step 3: Cross multiply
    953.86x = 1,430.86 × 304.64
  4. Step 4: Simplify right side
    953.86x = 435,897.19
  5. Step 5: Solve for x
    x = 435,897.19/953.86
  6. Step 6: Final answer
    x = 456.98

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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.