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Finding the Fourth Proportional to 971.47, 1,457.44 and 322.21

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Solution

The fourth proportional to 971.47, 1,457.44 and 322.21 is: 483.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.47 : 1,457.44 = 322.21 : x
  2. Step 2: Convert to fraction form
    971.47/1,457.44 = 322.21/x
  3. Step 3: Cross multiply
    971.47x = 1,457.44 × 322.21
  4. Step 4: Simplify right side
    971.47x = 469,602.76
  5. Step 5: Solve for x
    x = 469,602.76/971.47
  6. Step 6: Final answer
    x = 483.39

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1.5x scale

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.