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Finding the Fourth Proportional to 567.60, 783.30 and 318.96

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Solution

The fourth proportional to 567.60, 783.30 and 318.96 is: 440.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.60 : 783.30 = 318.96 : x
  2. Step 2: Convert to fraction form
    567.60/783.30 = 318.96/x
  3. Step 3: Cross multiply
    567.60x = 783.30 × 318.96
  4. Step 4: Simplify right side
    567.60x = 249,841.37
  5. Step 5: Solve for x
    x = 249,841.37/567.60
  6. Step 6: Final answer
    x = 440.17

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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.