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Finding the Fourth Proportional to 567.88, 784.74 and 510.28

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Solution

The fourth proportional to 567.88, 784.74 and 510.28 is: 705.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.88 : 784.74 = 510.28 : x
  2. Step 2: Convert to fraction form
    567.88/784.74 = 510.28/x
  3. Step 3: Cross multiply
    567.88x = 784.74 × 510.28
  4. Step 4: Simplify right side
    567.88x = 400,437.13
  5. Step 5: Solve for x
    x = 400,437.13/567.88
  6. Step 6: Final answer
    x = 705.14

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Why These Related Problems?

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