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Finding the Fourth Proportional to 970.31, 1,455.10 and 353.86

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Solution

The fourth proportional to 970.31, 1,455.10 and 353.86 is: 530.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.31 : 1,455.10 = 353.86 : x
  2. Step 2: Convert to fraction form
    970.31/1,455.10 = 353.86/x
  3. Step 3: Cross multiply
    970.31x = 1,455.10 × 353.86
  4. Step 4: Simplify right side
    970.31x = 514,901.69
  5. Step 5: Solve for x
    x = 514,901.69/970.31
  6. Step 6: Final answer
    x = 530.66

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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.