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Finding the Fourth Proportional to 953.58, 1,430.37 and 260.25

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Solution

The fourth proportional to 953.58, 1,430.37 and 260.25 is: 390.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.58 : 1,430.37 = 260.25 : x
  2. Step 2: Convert to fraction form
    953.58/1,430.37 = 260.25/x
  3. Step 3: Cross multiply
    953.58x = 1,430.37 × 260.25
  4. Step 4: Simplify right side
    953.58x = 372,253.79
  5. Step 5: Solve for x
    x = 372,253.79/953.58
  6. Step 6: Final answer
    x = 390.38

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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.