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Finding the Fourth Proportional to 710.02, 979.59 and 430.11

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Solution

The fourth proportional to 710.02, 979.59 and 430.11 is: 593.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.02 : 979.59 = 430.11 : x
  2. Step 2: Convert to fraction form
    710.02/979.59 = 430.11/x
  3. Step 3: Cross multiply
    710.02x = 979.59 × 430.11
  4. Step 4: Simplify right side
    710.02x = 421,333.07
  5. Step 5: Solve for x
    x = 421,333.07/710.02
  6. Step 6: Final answer
    x = 593.41

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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.