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Finding the Fourth Proportional to 476.51, 715.17 and 339.89

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Solution

The fourth proportional to 476.51, 715.17 and 339.89 is: 510.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.51 : 715.17 = 339.89 : x
  2. Step 2: Convert to fraction form
    476.51/715.17 = 339.89/x
  3. Step 3: Cross multiply
    476.51x = 715.17 × 339.89
  4. Step 4: Simplify right side
    476.51x = 243,079.13
  5. Step 5: Solve for x
    x = 243,079.13/476.51
  6. Step 6: Final answer
    x = 510.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.