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Finding the Fourth Proportional to 970.06, 1,453.80 and 353.19

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Solution

The fourth proportional to 970.06, 1,453.80 and 353.19 is: 529.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.06 : 1,453.80 = 353.19 : x
  2. Step 2: Convert to fraction form
    970.06/1,453.80 = 353.19/x
  3. Step 3: Cross multiply
    970.06x = 1,453.80 × 353.19
  4. Step 4: Simplify right side
    970.06x = 513,462.38
  5. Step 5: Solve for x
    x = 513,462.38/970.06
  6. Step 6: Final answer
    x = 529.31

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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.