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Finding the Fourth Proportional to 477.10, 710.63 and 456.04

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Solution

The fourth proportional to 477.10, 710.63 and 456.04 is: 679.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.10 : 710.63 = 456.04 : x
  2. Step 2: Convert to fraction form
    477.10/710.63 = 456.04/x
  3. Step 3: Cross multiply
    477.10x = 710.63 × 456.04
  4. Step 4: Simplify right side
    477.10x = 324,075.71
  5. Step 5: Solve for x
    x = 324,075.71/477.10
  6. Step 6: Final answer
    x = 679.26

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.