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Finding the Fourth Proportional to 971.40, 1,457.22 and 313.07

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Solution

The fourth proportional to 971.40, 1,457.22 and 313.07 is: 469.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.40 : 1,457.22 = 313.07 : x
  2. Step 2: Convert to fraction form
    971.40/1,457.22 = 313.07/x
  3. Step 3: Cross multiply
    971.40x = 1,457.22 × 313.07
  4. Step 4: Simplify right side
    971.40x = 456,211.87
  5. Step 5: Solve for x
    x = 456,211.87/971.40
  6. Step 6: Final answer
    x = 469.64

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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.