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Finding the Fourth Proportional to 620.77, 856.06 and 434.02

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Solution

The fourth proportional to 620.77, 856.06 and 434.02 is: 598.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.77 : 856.06 = 434.02 : x
  2. Step 2: Convert to fraction form
    620.77/856.06 = 434.02/x
  3. Step 3: Cross multiply
    620.77x = 856.06 × 434.02
  4. Step 4: Simplify right side
    620.77x = 371,547.16
  5. Step 5: Solve for x
    x = 371,547.16/620.77
  6. Step 6: Final answer
    x = 598.53

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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.