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Finding the Fourth Proportional to 473.18, 653.18 and 307.54

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Solution

The fourth proportional to 473.18, 653.18 and 307.54 is: 424.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.18 : 653.18 = 307.54 : x
  2. Step 2: Convert to fraction form
    473.18/653.18 = 307.54/x
  3. Step 3: Cross multiply
    473.18x = 653.18 × 307.54
  4. Step 4: Simplify right side
    473.18x = 200,875.71
  5. Step 5: Solve for x
    x = 200,875.71/473.18
  6. Step 6: Final answer
    x = 424.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.